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Publications by team members
Publications in the area
The latest 5 articles: 
The latest 5 articles: 

  • Alessio Bottini, Emanuele Macrì, Paolo Stellari, Hyper-Kähler varieties: Lagrangian fibrations, atomic sheaves, and categories, arXiv:2603.23033

  • Moritz Hartlieb, Saket Shah, Twisted Arinkin transforms and derived categories of moduli spaces on Kuznetsov components, arXiv:2603.11350

  • Alessio Bottini, Riccardo Carini, Semi-rigid stable sheaves: a criterion and examples varieties, arXiv:2603.09477

  • Moritz Hartlieb, Matteo Verni, On the topological Brauer group of generalized Kummer varieties, arXiv:2512.14262

  • Alessio Bottini, Daniel Huybrechts, The period-index problem for hyperkähler varieties: Lower and upper bounds, arXiv:2512.15131

  • Kohei Kikuta, Yuta Takada, Taiki Takatsu, Gap theorems and achirality for automorphisms of K3 surfaces and Enriques surfaces, arXiv:2604.04682

  • Shouhei Ma, Ken Sato, Higher Chow cycles, cyclic cubic fourfolds and Lagrangian subvarieties, arXiv:2604.02628

  • Kieran G. O'Grady, Moduli of sheaves on hyperkähler manifolds, arXiv:2602.23194

  • David Zhiyuan Bai, Topology of projective Tate-Shafarevich twists, arXiv:2602.21554

  • Raymond Cheng, Noah Olander, Derived categories of quadric bundles and moduli stacks of spinor sheaves, arXiv:2602.20263 

Last updated: 2026-03-11

Publications by team members

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  • Alessio Bottini, Emanuele Macrì, Paolo Stellari, Hyper-Kähler varieties: Lagrangian fibrations, atomic sheaves, and categories, arXiv:2603.23033

  • Moritz Hartlieb, Saket Shah, Twisted Arinkin transforms and derived categories of moduli spaces on Kuznetsov components, arXiv:2603.11350

  • Alessio Bottini, Riccardo Carini, Semi-rigid stable sheaves: a criterion and examples varieties, arXiv:2603.09477

  • Moritz Hartlieb, Matteo Verni, On the topological Brauer group of generalized Kummer varieties, arXiv:2512.14262

  • Alessio Bottini, Daniel Huybrechts, The period-index problem for hyperkähler varieties: Lower and upper bounds, arXiv:2512.15131

  • Claire Voisin, Unboundedness of zero-cycles on higher dimensional Fano manifolds, arXiv:2511.23080

  • Frank Gounelas, Daniel Huybrechts, Universal Brauer-Severi varieties, arXiv:2510.20474

  • Ángel David Ríos Ortiz, Andrés Rojas, Jieao Song, Projective models for Hilbert squares of   surfaces, arXiv:2510.02065

  • Claudio Onorati, Ángel David Ríos Ortiz, The SYZ conjecture for singular moduli spaces of sheaves on K3 surfaces, arXiv:2510.01005

  • Claire Voisin, Rank 2 vector bundles and degrees of points of del Pezzo surfaces, arXiv:2509.17996

  • Olivier Debarre, Ben Moonen, Bézout's theorem for abelian varieties, arXiv:2509.14940

  • ​Francesco Antonio Denisi, Nikolaos Tsakanikas, Zhixin Xie, Deformations of primitive Enriques varieties, arXiv:2509.14014 

  • Moritz Hartlieb, A note on cubic fourfolds containing multiple planes, arXiv:2509.06666

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  • Claire Voisin, Universally defined cycles I, arXiv:2408.06893

  • Chenyu Bai, Hodge theory, algebraic cycles of hyper-Kähler manifolds, arXiv:2407.19488

  • Ignacio Barros, Pietro Beri, Laure Flapan, Brandon Williams, Cones of Noether-Lefschetz divisors and moduli spaces of hyperkähler manifold, arXiv:2407.07622

  • Roland Abuaf, Riccardo Carini, Holomorphic symplectic manifolds from semistable Higgs bundles, arXiv:2406.00395

  • Olivier Benoist, Claire Voisin, On the smoothability problem with rational coefficients, arXiv:2405.12620 

  • Simone Billi, Annalisa Grossi, Non-symplectic automorphisms of prime order of O'Grady's tenfolds and cubic fourfolds, arXiv:2405.05932

  • Dominique Mattei, Reinder Meinsma, Obstruction classes for moduli spaces of sheaves and Lagrangian fibrations, arXiv:2404.16652

  • Emma Brakkee, Chiara Camere, Annalisa Grossi, Laura Pertusi, Giulia Saccà, Sasha Viktorova, Irreducible symplectic varieties via relative Prym varieties, arXiv:2404.03157

  • Valeria Bertini, Annalisa Grossi, Mirko Mauri, Enrica Mazzon, Terminalizations of quotients of compact hyperkähler manifolds by induced symplectic automorphisms, arXiv:2401.13632

  • Jixieng Huang, The Curves of Elliptic Nodes on K3 Surfaces, arXiv:2312.12631​​​

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  • Claire Voisin, Flat pushforwards of Chern classes and the smoothing problem for cycles in the Whitney range, arXiv:2311.04714

  • Francesco Antonio Denisi, Polygons of Newton-Okounkov type on irreducible holomorphic symplectic manifolds, arXiv:2311.03295

  • Daniel Huybrechts, Dominique Mattei, The special Brauer group and twisted Picard varieties, aXiv:2310.04032

  • Daniel Huybrechts, Dominique Matte, Splitting unramified Brauer classes by abelian torsors and the period-index problem, arXiv:2310.04029

  • Laure Flapan, Emanuele Macrì, Kieran G. O'Grady, Giulia Saccà, The geometry of antisymplectic involutions, II, arXiv:2309.02238

  • Salvatore Floccari, Mauro Varesco, Algebraic cycles on hyper-Kähler varieties of generalized Kummer type, arXiv:2308.04865

  • Benedetta Piroddi, Ángel David Ríos Ortiz, On the transcendental lattices of Hyperkähler manifolds, arXiv:2308.12869

  • Yu-Wei Fan, Kuan-Wen Lai, Fourier-Mukai numbers of K3 categories of very general special cubic fourfolds, arXiv:2307.14486

  • ​Daniele Agostini, Ignacio Barros, Kuan-Wen Lai, On the irrationality of moduli spaces of projective hyperkähler manifold, arXiv:2307.07391

  • Alexander Kuznetsov, Evgeny Shinder, Derived categories of Fano threefolds and degenerations, arXiv:2305.17213

  • Ivan Cheltsov, Igor Krylov, Jesus Martinez Garcia, Evgeny Shinder, On maximally non-factorial nodal Fano threefolds, arXiv:2305.09081

  • ​Claire Voisin, On Chern classes of Lagrangian fibered hyper-Kähler manifolds, arXiv:2305.09396

  • Arnaud Beauville, Antoine Etesse, Andreas Höring, J. Liu, Claire Voisin, Symmetric tensors on the intersection of two quadrics and Lagrangian fibration, arXiv:2304.10919 

  • Moritz Hartlieb, Special subvarieties in the locus of intermediate Jacobians of cubic threefolds, arXiv:2304.03214

  • Mauro Varesco, Hodge homotheties, algebraic classes, and Kuga-Satake varieties, arXiv:2304.02519

  • Daniel Huybrechts, The K3 category of a cubic fourfold -- an update, arXiv:2303.03820

  • Reinder Meinsma, Evgeny Shinder, Derived equivalence of elliptic K3 surfaces and Jacobians, arXiv:2303.16638

  • ​Yu-Wei Fan, Kuan-Wen Lai, Nielsen realization problem for Bridgeland stability conditions on generic K3 surfaces, arXiv:2302.12663

  • Dominique Mattei, The Intermediate Jacobian fibration of a cubic fourfold containing a plane and fibrations in Prym varieties, arXiv:2302.00350

  • Claire Voisin, Cycle classes on abelian varieties and the geometry of the Abel-Jacobi map, arXiv:2212.03046

  • Mirko Mauri, Evgeny Shinder, Homological Bondal-Orlov localization conjecture for rational singularities, arXiv:2212.06786

  • Pietro Berri, Laurent Manivel, A birational involution, arXiv:2211.12866

  • Daniel Huybrechts, Chow groups of surfaces of lines in cubic fourfolds, arXiv:2211.12186

  • Alexander Kuznetsov, Evgeny Shinder, Homologically finite-dimensional objects in triangulated categories, arXiv:2211.09418 

  • Mauro Varesco, Towards generic base point freeness for generalized Kummer varieties in low dimension, arXiv:2211.11485

  • Alexander Kuznetsov, Evgeny Shinder, Homologically finite-dimensional objects in triangulated categories, arXiv:2211.09418

  • Alessio Bottini, Towards a modular construction of OG10, arXiv:2211.09033

  • Chenyu Bai, On some birational invariants of hyper-Kähler manifolds, arXiv:2210.12455

  • Claire Voisin, Geometric representability of 1-cycles on rationally connected threefolds, arXiv:2208.12557

  • Yajnaseni Dutta, Dominique Mattei, Yulieth Prieto-Montañez, On symplectic birational self-maps of projective hyperkähler manifolds of K3[n]-type, arXiv:2209.03783

  • Shamil Asgarli, Lian Duan, Kuan-Wen Lai, Frobenius nonclassical hypersurfaces, arXiv:2207.11981

  • Dmitrii Pirozhkov, Categorical Torelli theorem for hypersurfaces, arXiv:2208.13604

  • Mauro Varesco, The Hodge conjecture for powers of K3 surfaces of Picard number 16, arXiv:2203.09778

  • Chenyu Bai, On Abel-Jacobi Maps of Lagrangian Families, arXiv:2203.06242

  • Olivier Debarre, Daniel Huybrechts, Emanuele Macrì, Claire Voisin, Computing Riemann-Roch polynomials and classifying hyper-Kähler fourfolds, arXiv:2201.08152

  • Claire Voisin, On fibrations and measures of irrationality of hyper-Kähler manifolds, arXiv:2201.07037 

  • Arend Bayer, Emanuele Macrì, The unreasonable effectiveness of wall-crossing in algebraic geometry, arXiv:2201.03654

  • Georg Oberdieck, Jieao Song, Claire Voisin, Hilbert schemes of K3 surfaces, generalized Kummer, and cobordism classes of hyper-Kähler manifolds, arXiv:2110.02211

  • Daniel Huybrechts, Nodal quintic surfaces and lines on cubic fourfolds, arXiv:2108.10532

  • Daniel Huybrechts, Mirko Mauri, On type II degenerations of hyperkähler manifolds, arXiv:2108.01587

  • Olivier Debarre, Emanuele Macrì, Complete curves in the moduli space of polarized K3 surfaces and hyper-Kähler manifolds, arXiv:2108.0042

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Publications in the area

  • Kohei Kikuta, Yuta Takada, Taiki Takatsu, Gap theorems and achirality for automorphisms of K3 surfaces and Enriques surfaces, arXiv:2604.04682

  • Shouhei Ma, Ken Sato, Higher Chow cycles, cyclic cubic fourfolds and Lagrangian subvarieties, arXiv:2604.02628

  • Kieran G. O'Grady, Moduli of sheaves on hyperkähler manifolds, arXiv:2602.23194

  • David Zhiyuan Bai, Topology of projective Tate-Shafarevich twists, arXiv:2602.21554

  • Raymond Cheng, Noah Olander, Derived categories of quadric bundles and moduli stacks of spinor sheaves,      arXiv:2602.20263 

  • Zhichao Tang, Haitao Zou, Monodromy rank and the semisimple Mumford-Tate conjecture for hyper-Kähler varieties, arXiv:2602.19835

  • Enrica Mazzon, Terminalizations of quotients of Fano varieties of lines on cubic fourfolds, arXiv:2602.16492

  • Alessandro Pilastro, On Fujita's conjecture for a general hyperkähler manifold in the standard series of examples, arXiv:2602.12439

  • Davesh Maulik, Junliang Shen, Qizheng Yin, On the Orlov conjecture for hyper-Kähler varieties via hyperholomorphic bundles, arXiv:2601.20289

  • Lisa Marquand, Sasha Viktorova, Cubic fourfolds containing highly singular hyperplane sections, arXiv:2601.20778

  • Francesco Antonio Denisi, Claudio Onorati, Francesca Rizzo, Sasha Viktorova, Birational automorphism groups in families of hyper-Kähler manifolds, arXiv:2601.16090

  • Irina Shatova, Brill--Noether Generality of Curves and K3 Surfaces, arXiv:2601.14709

  • Bastien Philippe, Hyperbolicity properties of moduli spaces of marked hyperk{ä}hler manifolds, arXiv:2512.03638

  • Simone Billi, Lucas Li Bassi, Some remarks on L-equivalence for cubic fourfolds and hyper-Kähler manifolds, arXiv:2512.01968

  • Yulieth Prieto-Montañez, Ian Selvaggi, Derived categories of Gushel-Mukai surfaces and Fano fourfolds of K3 type, arXiv:2511.20324

  • Eva Bayer-Fluckiger, Bert van Geemen, Matthias Schütt, Non-projective K3 surfaces with real or Salem multiplication, arXiv:2511.19970

  • Yifan Zhao, Moduli of sheaves and deformation to the normal cone, arXiv:2511.17700

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  • Edward Varvak, The monodromy of compact Lagrangian fibrations, arXiv:2504.21740

  • Daniele Agostini, Andreas Höring, Fixed divisors on hyperkähler manifolds, arXiv:2511.11226

  • Junyu Meng, Hilbert squares of genus 16 K3 surfaces, arXiv:2510.26488

  • Ekaterina Amerik, Andrey Soldatenkov, Misha Verbitsky, Birational geometry of hyperkahler manifolds and the Hu-Yau conjecture, arXiv:2510.24454

  • Christian Böhning, Hans-Christian Graf von Bothmer, Lisa Marquand, Counting Fourier-Mukai partners of cubic fourfolds, arXiv:2509.22491 

  • Peize Liu, Stability Conditions and Moduli Spaces on Kuznetsov Component of Cubic Fivefolds, arXiv:2509.21454

  • Corey Brooke, Laure Flapan, Sarah Frei, Lisa Marquand, Peskine sixfolds and Debarre-Voisin fourfolds with associated cubic fourfolds, arXiv:2509.18339

  • Simone Billi, Lie Fu, Annalisa Grossi, Viatcheslav Kharlamov, In search of maximal branes on hyper-Kähler manifolds, arXiv:2509.17939

  • Ken Sato, Notes on symplectic action on (2,1) cycles on   K3 surfaces, arXiv:2509.13491

  • Ljudmila Kamenova, Misha Verbitsky, Torsor Neron models of hyperkahler manifolds, arXiv:2509.12369

  • Henri Guenancia, Beauville-Bogomolov decomposition for klt varieties, arXiv:2509.10053

  • Pietro Beri, Laurent Manivel, More birational involutions, arXiv:2509.10130

  •  Rodolfo Aguilar, Mark Green, Phillip Griffiths, Lagrangian interpretation of Abel-Jacobi mappings associated to Fano threefolds, arXiv:2509.06197

  • Niklas Müller, Zheng Xu, Lagrangian Fibrations onto Varieties with Isolated Quotient Singularities, arXiv:2508.04135  

  • János Kollár, Giulia Saccà, Sections of Jacobian fibrations over lines, arXiv:2508.09819

  • Andreas Hörig, Vladimir Lazić, Christian Lehn, Nonvanishing results for Kähler varieties arXiv:2508.14634

  • Philip Engel, Stefano Filipazzi, François Greer, Mirko Mauri, Roberto Svaldi, Boundedness of some fibered K-trivial varieties arXiv:2507.00973

  • Kimoi Kemboi, Ed Segal, The Fano of lines, the Kuznetsov component, and a flop arXiv:2506.20559

  • Chenpeng Feng, Hodge structures of the surface of planes in a cubic 5-fold arXiv:2506.13767

  • Anand Deopurkar, The Thurston compactification of the stability manifold of a generic analytic K3 surface arXiv:2505.14991

  • Lie Fu, Zhiyuan Li, Teppei Takamatsu, Haitao Zou, Rank jumps and Multisections of elliptic fibrations on K3 surfaces arXiv:2505.15159

  • Lie Fu, Zhiyuan Li, Teppei Takamatsu, Haitao Zou, Finiteness of pointed families of symplectic varieties: a geometric Shafarevich conjecture, arXiv:2505.15295 

  • ​​​​​​​Samuel Boissiere, Marc Nieper-Wisskirchen, Gregory Sankaran, On the generalised Kummer fourfold of the Jacobian of a genus two curve, arXiv:2505.14444 

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  • Christian Böhning, Hans-Christian Graf von Bothmer, Lisa Marquand, Fourier-Mukai partners of non-syzygetic cubic fourfolds and Gale duality, arXiv:2505.10627

  • János Kollár, Abelian fiber spaces and their Tate-Shafarevich twists with sections, arXiv:2504.21705

  • Edward Varvak, The monodromy of compact Lagrangian fibrations, arXiv:2504.21740

  • Ignacio Barros, Laure Flapan, Riccardo Zuffetti, Extremal divisors on moduli spaces of K3 surfaces, arXiv:2504.16730

  • Salvatore Floccari, Lie Fu, The Hodge conjecture for Weil fourfolds with discriminant 1 via singular OG6-varieties, arXiv:2504.13607

  • Kohei Kikuta, Naoki Koseki, Genki Ouchi, Stability conditions on K3 surfaces via mass of spherical objects, arXiv:2504.12253

  • Flora Poon, Kuga-Satake construction on families of K3 surfaces of Picard rank 14, arXiv:2504.08270

  • Yajnaseni Dutta, Lisa Marquand, Relative compactified Prym and Picard fibrations associated to very good cubic fourfolds, arXiv:2502.21301

  • Laure Flapan, Sarah Frei, Lisa Marquand, Equivariant Kuznetsov components for cubic fourfolds with a symplectic involution, arXiv:2502.19296

  • Alessandro Frassineti, Federico Tufo, Modular vector bundles on hyperkähler manifolds of Debarre-Voisin type, arXiv:2502.18360

  • James Hotchkiss, Davesh Maulik, Junliang Shen, Qizheng Yin, Ruxuan Zhang, The period-index problem for hyper-Kähler varieties via hyperholomorphic bundle, arXiv:2502.09774

  • Chen Jiang, Wenfei Li, On numerically trivial automorphisms of compact hyperkähler manifolds of dimension 4, arXiv:2308.03394

  • Pietro Beri, Giovanni Mongardi, Gianluca Pacienza, On the Zariski density of rational curves on IHS manifolds, arXiv:2502.09349

  • Ruxuan Zhang, A twisted derived category of hyper-Kähler varieties of K3[n]-type, arXiv:2502.02143

  • Ekaterina Amerik, Serge Cantat, Parabolic automorphisms of hyperkähler manifolds: Orbits and Betti maps, arXiv:2502.01149

  • Federica Galluzzi, Bert van Geemen, The two extremal rays of some Hyper-Kähler fourfolds, arXiv:2501.09578

  • Ziqi Liu, Derived-natural automorphisms on Hilbert schemes of points on generic polarized K3 surfaces, arXiv:2501.08854

  • Daniel Andrew Baldwin, Bobby Samir Acharya, On Classifying HyperKähler Kummer 8-Orbifold, arXiv:2501.03692 

  • ​Salvatore Floccari, K3 surfaces associated to varieties of generalized Kummer type, arXiv:2501.02315

  • Ana Quedo, Geometric realizations of non-symplectic involutions on the Hilbert square of a K3 surface, arXiv:2412.12307

  • Dai Imaike, Analytic torsion for irreducible holomorphic symplectic fourfolds with involution, II: the singularity of the invariant, arXiv:2411.13911

  • Giulia Saccà, Compactifying Lagrangian fibrations, arXiv:2411.06505

  • Brendan Hassett, Cubic fourfolds of discriminant 24 and rationality, arXiv:2411.04222

  • Corey Brooke, Sarah Frei, Lisa Marquand, Cubic fourfolds with birational Fano varieties of lines, arXiv:2410.22259

  • Andreas Höring, Gianluca Pacienza, Zhixin Xie, On the relative cone conjecture for families of IHS manifolds, arXiv:2410.11987

  • Benjamin Tigh, Symmetries and vanishing theorems for symplectic varieties, arXiv:2410.07515

  • Yuchen Liu, Zhiyu Liu, Chenyang Xu, Irreducible symplectic varieties with a large second Betti number, arXiv:2410.01566

  • Anna Saveleyeva, Central derived autoequivalences of K3 surfaces, arXiv:2409.16877

  • Daniele Faenzi, Grégoire Menet, Yulieth Prieto-Montañez, Anti-symplectic involutions on moduli spaces of sheaves on K3 surfaces via auto-equivalences, arXiv:2409.12668

  • Enrico Fatighenti, Claudio Onorati, Modular vector bundles with and without moduli, arXiv:2409.12821

  • Andrey Soldatenkov, Misha Verbitsky, Abundance and SYZ conjecture in families of hyperkahler manifolds, arXiv:2409.09142

  • Yulieth Prieto-Montañez, On Hyperkähler manifolds of K3[n]-type with large Picard number, arXiv:2408.16610

  • Davesh Maulik, Junliang Shen, Qizheng Yin, The D-equivalence conjecture for hyper-Kähler varieties via hyperholomorphic bundles, arXiv:2408.14775

  • Benedetta Piroddi, Symplectic actions of groups of order 4 on K3[2]-type manifolds, and standard involutions on Nikulin-type orbifolds, arXiv:2407.18904

  • Corey Brooke, Sarah Frei, Lisa Marquand, Xuqiang Qin, Birational geometry of Fano varieties of lines on cubic fourfolds containing pairs of cubic scrolls, arXiv:2407.18904

  • Alice Garbagnati, Matteo Penegini, Arvid Perego, Singular symplectic surfaces, arXiv:2407.21173

  • Kieran O'Grady, Modular sheaves with many moduli, arXiv:2407.18101

  • Anna Abasheva, Shafarevich-Tate groups of holomorphic Lagrangian fibrations II, arXiv:2407.09178 

  • Andrey Soldatenkov, Misha Verbitsky, Hermitian-symplectic and Kahler structures on degenerate twistor deformations, arXiv:2407.07867

  • Fedor Bogomolov, Ljudmila Kamenova, Misha Verbitsky, Sections of Lagrangian fibrations on holomorphic symplectic manifolds, arXiv:2407.07877

  • Hanfei Guo, Zhiyu Liu, Atomic sheaves on hyper-Kähler manifolds via Bridgeland moduli spaces, arXiv:2402.08528

  • Dai Imaike, Analytic torsion for irreducible holomorphic symplectic fourfolds with involution, arXiv:2402.07611

  • Marcello Bernardara, Enrico Fatighenti, Grzegorz Kapustka, Michał Kapustka, Laurent Manivel, Giovanni Mongardi, Fabio Tanturri, Even nodal surfaces of K3 type, arXiv:2402.08528

  • Fabian Reede, Enriques surfaces with trivial Brauer map and involutions on hyperkähler manifolds, arXiv:2402.07611

  • Daniel Greb, Martin Schwald, Moduli of K3 families over P1, cycle spaces of IHS period domains, and deformations of complex-hyperkähler metrics, arXiv:2311.13420

  • Yajnaseni Dutta, Elham Izadi, Ljudmila Kamenova, Lisa Marquand, Some density results for hyperkähler manifolds, arXiv:2403.04868

  • Ekaterina Amerik, Andrey Soldatenkov, Misha Verbitsky, Apollonian carpets and the boundary of the Kahler cone of a hyperkahler manifold, arXiv:2402.11697

  • Marcello Bernardara, Enrico Fatighenti, Grzegorz Kapustka, Michał Kapustka, Laurent Manivel, Giovanni Mongardi, Fabio Tanturri, Even nodal surfaces of K3 type, arXiv:2402.08528

  • Yajnaseni Dutta, Elham Izadi, Ljudmila Kamenova, Lisa Marquand, Some density results for hyperkähler manifolds, arXiv:2403.04868

  • Lisa Marquand, Sasha Viktorova, The defect of a cubic threefold, arXiv:2312.05118

  • Benjamin Bakker, Christian Schnell, A Hodge-theoretic proof of Hwang's theorem on base manifolds of Lagrangian fibrations, arXiv:2311.08977

  • Ekaterina Amerik, Misha Verbitsky, Normal form of bimeromorphically contractible holomorphic Lagrangian submanifolds, arXiv:2311.04360

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  • Federica Galluzzi, Bert van Geemen, Invariants of Vanishing Brauer Classes, arXiv:2310.18200

  • Giacomo Nanni, Classification of lagrangian planes in Kummer-type hyperkähler manifolds, arXiv:2310.15639

  • Johannes Horn, Johannes Schwab, Visible Lagrangians for Hitchin systems and pillowcase covers, arXiv:2310.15716

  • Giovanni Mongardi, Gianluca Pacienza, Regenerations and applications, arXiv:2310.18248

  • Bert van Geemen, Matthias Schütt, On families of K3 surfaces with real multiplication, arXiv:2310.05196

  • Shouhei Ma, Ken Sato, Higher Chow cycles on some K3 surfaces with involution, arXiv:2309.16132 

  • Claudio Onorati, Arvid Perego, Antonio Rapagnetta, Locally trivial monodromy of moduli spaces of sheaves on K3 surfaces, arXiv:2309.10397

  • Jonas Baltes, Lefschetz-type theorems for the effective cone on Hyperkähler varieties, arXiv:2309.03141

  • Ljudmila Kamenova, Giovanni Mongardi, Alexei Oblomkov, Fixed loci of symplectic automorphisms of K3[n] and n-Kummer type manifold, arXiv:2308.14692

  • Samir Canning, Dragos Oprea, Rahul Pandharipande, The Chow ring of the moduli space of degree 2 quasi-polarized K3 surfaces, arXiv:2307.09284

  • Barbara Fantechi, Rosa Miro-Roig, Lagrangian subspaces of the moduli space of simple sheaves on K3 surfaces,  arXiv:2306.05338

  • Josiah Foster, The Lefschetz standard conjectures for IHSMs of generalized Kummer deformation type in certain degrees, arXiv:2303.14327

  • Giulia Saccà, Moduli spaces on Kuznetsov componennts are Irreducible Symplectic Varieties, arXiv:2304.02609

  • Francesco Antonio Denisi, Ángel David Ríos Ortiz, Asymptotic base loci on hyper-Kähler manifolds, arXiv:2304.01773

  • Giuseppe Ancona, Mattia Cavicchi, Robert Laterveer, Giulia Saccà, Relative and absolute Lefschetz standard conjectures for some Lagrangian fibrations, arXiv:2304.00978

  • Nessim Sibony, Andrey Soldatenkov, Misha Verbitsky, Rigid currents on compact hyperkahler manifolds, arXiv:2303.11362

  • Benson Farb, Eduard Looijenga, Moduli spaces and period mappings of genus one fibered K3 surfaces, arXiv:2303.08214

  • Federico Moretti, The polarized degree of irrationality of K3 surfaces, arXiv:2303.07289

  • Gianluca Pacienza, Alessandra Sarti, On the cone conjecture for Enriques manifolds, arXiv:2303.07095

  • Camilla Felisetti, Franco Giovenzana, Annalisa Grossi, O'Grady tenfolds as moduli spaces of sheaves, arXiv:2303.0701​

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  • Enrico Fatighenti, Examples of non-rigid, modular vector bundles on hyperkähler manifolds, arXiv:2302.09025

  • Shouhei Ma, Differential forms on universal K3 surfaces, arXiv:2301.02550

  • Ljudmila Kamenova, Christian Lehn, Non-hyperbolicity of holomorphic symplectic varieties, arXiv:2212.11411

  • Tomasz Wawak, Very symmetric hyper-Kähler fourfolds, arXiv:2212.02900

  • Corey Brook, Lagrangian fibrations from Fano varieties of cubic fourfolds, arXiv:2211.13444

  • Simon Brandhorst, Giacomo Mezzedimi, Borcherds lattices and K3 surfaces of zero entropy, arXiv:2211.09600

  • Benjaminn Tighe, The LLV Algebra for Primitive Symplectic Varieties with Isolated Singularities, arXiv:2211.06776

  • Xun Yu, K3 surface entropy and automorphism groups, arXiv:2211.07526

  • Simone Billi, A note on the Nielsen realization problem for HK manifolds, arXiv:2211.04127

  • Christian Lehn, Giovanni Mongardi, Gianluca Pacienza, Footnotes to the birational geometry of primitive symplectic varieties, arXiv:2210.12451

  • Angus McAndrew, Galois descent for motives: the K3 case, arXiv:2210.13675

  • Yeqin Liu, The cohomology of spherical vector bundles on K3 surfaces, arXiv:2210.11030

  • Emilio Franco, O'Grady spaces and symplectic resolution of moduli spaces of Higgs bundles, arXiv:2210.04823

  • Xuqiang Qin, Justin Sawon, Birational geometry of Beauville-Mukai systems III: asymptotic behavior, arXiv:2210.03095

  • Salvatore Floccari, Sixfolds of generalized Kummer type and K3 surfaces, arXiv:2210.02948

  • Michele Bolognesi, Robert Laterveer, On the Chow Ring of Fano Fourfolds,  arXiv:2209.12645

  • Riccardo Carini, Francesco Viganò, One-dimensional Local Families of Complex K3 Surfaces, arXiv:2209.1300

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  • Warren Cattani, Franco Giovenzana, Shengxuan Liu, Pablo Magni, Luigi Martinelli, Laura Pertusi, Jieao Song, Kernels of categorical resolutions of nodal singularities, arXiv:2209.12853

  • Andrey Soldatenkov, Cohomology and André motives of hyperkähler orbifolds, arXiv:2209.11029

  • Benjamin Bakker, A short proof of a conjecture of Matsushita, arXiv:2209.00604

  • Chen Jiang, Long Wang, On numerical dimensions of Calabi--Yau varieties, arXiv:2208.00654

  • Pablo Magni, Derived equivalences of generalized Kummer varieties, arXiv:2208.11183

  • Parvez Rasul, Fundamental Group Schemes of Generalized Kummer Variety, arXiv:2208.07946

  • Christian Lehn, Giovanni Mongardi, Gianluca Pacienza, The Morrison--Kawamata cone conjecture for singular symplectic varieties, arXiv:2207.14754

  • Sarah Frei, Katrina Honigs, Groups of symplectic involutions on symplectic varieties of Kummer type and their fixed loci, arXiv:2207.14035

  • Lisa Marquand, On Symplectic Birational Involutions of Manifolds of OG10 type, arXiv:2206.13814

  • Valery Alexeev, Root systems and hyperkahler varieties, arXiv:2206.14070

  • Luca Giovenzana, Annalisa Grossi, Claudio Onorati, Davide Cesare Veniani, Symplectic rigidity of O'Grady's tenfolds, arXiv:2206.11594

  • Adam Czapliński, Andreas Krug, Manfred Lehn, Sönke Rollenske, Compactified Jacobians of Extended ADE Curves and Lagrangian Fibrations, arXiv:2206.11686

  • Kazuhiro Ito, Tetsushi Ito, Teruhisa Koshikawa, The Hodge standard conjecture for self-products of K3 surfaces, arXiv:2206.10086

  • Georg Oberdieck, Lagrangian planes in hyperkähler varieties of K3[n]-type, arXiv:2206.10288

  • Valeria Bertini, Annalisa Grossi, Rational curves on primitive symplectic varieties of OG6 singular type, arXiv:2206.00691

  • Brendan Hassett, Yuri Tschinkel, Equivariant derived equivalence and rational points on K3 surfaces, arXiv:2205.14470

  • Francesco Denisi, The pseudo-effective cone of the known irreducible holomorphic symplectic manifolds, arXiv:2205.15148

  • Ekaterina Amerik, Frédéric Campana, On algebraically coisotropic submanifolds of holomorphic symplectic manifolds, arXiv:2205.07958

  • Soheyla Feyzbakhsh, Hyperkähler varieties as Brill-Noether loci on curves, arXiv:2205.00681

  • Bert van Geemen, Fourfolds of Weil type and the spinor map, arXiv:2205.00483

  • Chen Jiang, Positivity of Riemann-Roch polynomials and Todd classes of hyperkähler manifolds, arXiv:2008.04685

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  • Kieran O'Grady, Theta groups and projective models of hyperkähler varieties, arXiv:2204.09582

  • Francesco Meazzini, Claudio Onorati, Hyper-holomorphic connections on vector bundles on hyper-Kähler manifolds, arXiv:2204.04075

  • Eyal Markman, Rational Hodge isometries of hyper-Kahler varieties of K3[n]-type are algebraic, arXiv:2204.00516

  • Salvatore Floccari, On the motive of O'Grady's six dimensional hyper-Kähler varieties, arXiv:2203.16257

  • Hanfei Guo, Zhiyu Liu, Shizhuo Zhang, A moduli theoretic approach to Lagrangian subvarieties of hyperkähler varieties: Examples, arXiv:2203.13091

  • Valeria Bertini, Franco Giovenzana, Hodge structure of O'Grady's singular moduli spaces, arXiv:2203.07917

  • Kieran O'Grady, Modular sheaves on hyperkähler fourfolds of Kummer type, arXiv:2203.03987

  • Franco Giovenzana, Luca Giovenzana, Claudio Onorati, On the period of Li, Pertusi and Zhao's symplectic variety, arXiv:2202.13702

  • Thorsten Beckmann, Atomic Objects on hyper-Kähler manifolds, arXiv:2202.01184

  • Junliang Shen, Qizheng Yin, Perverse-Hodge complexes for Lagrangian fibrations, arXiv:2201.11283

  • René Mboro, Basic remarks on Lagrangian submanifolds of Hyper-Kähler manifolds, arXiv:2201.06135

  • Simone Novario, Geometric description of ⟨2⟩-polarised Hilbert squares of generic K3 surfaces, arXiv:2201.05074

  • Laura Pertusi, Paolo Stellari, Categorical Torelli theorems: results and open problems, arXiv:2201.03899

  • Lie Fu, Zhiyuan Li, Haitao Zou, Unpolarized Shafarevich conjectures for hyper-Kähler varieties, arXiv:2201.03350

  • Zhiyuan Li, Xun Zhang, Deligne-Beilinson cohomology of the universal K3 surface, arXiv:2201.02367 

  • Zhiyuan Li, Xun Zhang, Beauville-Voisin filtrations on zero cycles of moduli space of stable sheaves on K3 surfaces, arXiv:2201.00493

  • Justin Sawon, Topological bounds on hyperkähler manifolds, arXiv:2112.11617

  • Anna Abasheva, Vasily Rogov, Shafarevich-Tate groups of holomorphic Lagrangian fibrations, arXiv:2112.10921

  • Lie Fu, Robert Laterveer, Special cubic fourfolds, K3 surfaces and the Franchetta property, arXiv:2112.02437

  • Elham Izadi, Samir Canning, Yajnaseni Dutta, David Stapleton, Hyperkähler manifolds, arXiv:2112.02435

  • Ekaterina Amerik, Misha Verbitsky, Parabolic automorphisms of hyperkahler manifolds, arXiv:2112.01951

  • Marcello Bernardara, Enrico Fatighenti, Laurent Manivel, Fabio Tanturri, Fano fourfolds of K3 type, arXiv:2111.13030

  • Haidong Liu, On the existence of rational curves on projective hyperkähler fourfolds, arXiv:2111.04270

  • Michael Hoff, Giovanni Staglianò, Explicit constructions of K3 surfaces and unirational Noether-Lefschetz divisors, arXiv:2110.15819

  • Valery Alexeev, Philip Engel, The flex divisor of a K3 surface, arXiv:2109.14603

  • Kohei Kikuta, Spherical twists and the center of autoequivalence groups of K3 surfaces, arXiv:2110.14353

  • Yoon-Joo Kim, The dual Lagrangian fibration of known hyper-Kähler manifolds, arXiv:2109.03987

  • Eunjeong Lee, Kyeong-Dong Park, Complete intersection hyperkähler fourfolds with respect to equivariant vector bundles over rational homogeneous varieties of Picard number one, arXiv:2108.13314 

  • Camilla Felisetti, Junliang Shen, Qizheng Yin, On intersection cohomology and Lagrangian fibrations of irreducible symplectic varieties, arXiv:2108.02464 

  • Teppei Takamatsu, On the finiteness of twists of hyperkähler varieties, arXiv:2106.11651

  • Vladimiro Benedetti, Jieao Song, Divisors in the moduli space of Debarre-Voisin varieties, arXiv:2106.06859

  • Francesco Denisi, Boucksom-Zariski and Weyl chambers on irreducible holomorphic symplectic manifolds, arXiv:2106.03678

  • Ben Wu, Hodge Numbers of O'Grady 6 Via Ngô Strings, arXiv:2105.08545

  • Grzegorz Kapustka, Bert van Geemen, Contractions of hyper-Kähler fourfolds and the Brauer group, arXiv:2105.07697

  • Christian Lehn, Giovanni Mongardi, Gianluca Pacienza, Deformations of rational curves on primitive symplectic varieties and applications, arXiv:2103.13522

  • Volodymyr Gavran, Tangent bundle of a manifold of K3[2]-type is rigid, arXiv:2103.13522

  • Thorsten Beckmann, Derived categories of hyper-Kähler manifolds: extended Mukai vector and integral structure, arXiv:2103.13382

  • Emilio Franco, Degeneration of natural Lagrangians and Prymian integrable systems, arXiv:2103.05553

  • Justin Sawon, Chen Shen, Deformations of compact Prym fibrations to Hitchin systems, arXiv:2103.04274

  • Georg Oberdieck, Gromov-Witten theory and Noether-Lefschetz theory for holomorphic-symplectic varieties, arXiv:2102.11622

  • Francesco Viganò, Complex Multiplication and Noether-Lefschetz Loci of the Twistor Space of a K3 Surface, arXiv:2102.07285

  • Renat Abugaliev, Characteristic foliation on hypersurfaces with positive Beauville-Bogomolov-Fujiki square, arXiv:2102.02799

  • Jieao Song, On the image of the period map for polarized hyperkähler manifolds of K3[m]-type, arXiv:2101.04791

  • Valeria Bertini, Rational curves on O'Grady's tenfolds, arXiv:2101.01029

  • Arvid Perego, Antonio Rapagnetta, The second integral cohomology of moduli spaces of sheaves on K3 and Abelian surfaces, arXiv:2012.10649

  • Dominique Mattei, A Lagrangian fibration on a moduli space of sheaves on a K3 surface, arXiv:2012.05848

  • Arnaud Beauville, A remark on the generalized Franchetta conjecture for K3 surfaces, arXiv:2012.03332

  • Andreas Kretschmer, The Chow ring of hyperkähler varieties of K3[2]-type via Lefschetz actions, arXiv:2010.13847

  • Giovanni Mongardi, Claudio Onorati, Birational geometry of irreducible holomorphic symplectic tenfolds of O'Grady type, arXiv:2010.12511 

  • Grégoire Menet, Ulrike Rieß, On the Kähler cone of irreducible symplectic orbifolds, arXiv:2009.04873

  • Annalisa Grossi, Claudio Onorati, Davide Veniani, Prime order symplectic birational transformations of O'Grady's holomorphic symplectic sixfolds, arXiv:2009.02120 

  • Chen Jiang, Positivity of Riemann-Roch polynomials and Todd classes of hyperkähler manifolds, arXiv:2008.04685

  • Chunyi Li, Laura Pertusi, Xiaolei Zhao, Elliptic quintics on cubic fourfolds, O'Grady 10, and Lagrangian fibrations, arXiv:2007.14108

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