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Publications by team members
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  • ​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

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

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

  • 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:2108.00429

  • Ignacio Barros, Scott Mullane, On the birational geometry of the moduli of hyperelliptic curves, arXiv:2106.13774

  • Claire Voisin,  Footnotes to papers of O'Grady and Markman, arXiv:2106.06979

  • Yajnaseni Dutta, Daniel Huybrechts, Maximal variation of curves on K3 surfaces, arXiv:2105.04787

  • Alessio Bottini, Stable Sheaves on K3 Surfaces via Wall-Crossing, arXiv:2103.09661

  • Laure Flapan, Emanuele Macrì, Kieran O'Grady, Giulia Saccà, The geometry of antisymplectic involutions, I, arXiv:2102.02161

  • Olivier Debarre, Giovanni Mongardi, Gushel-Mukai varieties with many symmetries and an explicit irrational Gushel-Mukai threefold, arXiv:2101.01959

  • Claire Voisin, Compact Kähler manifolds with no projective specialization, arXiv:2101.01075

  • Daniel Huybrechts, Brilliant families of K3 surfaces: Twistor spaces, Brauer groups, and Noether-Lefschetz loci, arXiv:2012.04608

  • Daniele Agostini, Ignacio Barros, Kuan-Wen Lai, On the irrationality of moduli spaces of K3 surfaces, arXiv:2011.11025

  • Claire Voisin, On the Lefschetz standard conjecture for Lagrangian covered hyper-Kähler varieties, arXiv:2007.11872

  • Olivier Debarre, Alexander Kuznetsov, Gushel-Mukai varieties: Intermediate Jacobians, arXiv:2002.05620

  • Olivier Debarre, Gushel-Mukai varieties, arXiv:2001.03485

  • Arend Bayer, Martí Lahoz, Emanuele Macrì, Howard Nuer, Alexander Perry, Paolo Stellari, Stability conditions in family, arXiv:1902.08184

  • Arend Bayer, Martí Lahoz, Emanuele Macrì, Paolo Stellari, Stability conditions on Kuznetsov components, arXiv:1703.10839

  • 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:2303.07017

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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:2210.02948arXiv: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

  • Hanine Awada, Michele Bolognesi, Claudio Pedrini, A family of special cubic fourfolds with motive of abelian type, arXiv:2007.07193

  • Thorsten Beckmann, Georg Oberdieck, Equivariant categories and fixed loci of holomorphic symplectic varieties arXiv:2006.13899

  • Ángel David Ríos Ortiz, Riemann-Roch Polynomials of the known Hyperkähler Manifolds, arXiv:2006.09307

  • Giulia Saccà, Birational geometry of the intermediate Jacobian fibration of a cubic fourfold, arXiv:2002.01420

  • Kieran O’Grady, Modular sheaves on hyperkähler varieties, arXiv:1912.02659

  • Eduard Looijenga, Teichmüller spaces and Torelli theorems for hyperkähler manifolds, arXiv:1912.02550

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