Modern Aspects of Geometry: Categories, Cycles and Cohomology of Hyperkähler Varieties

The geometry of cubic hypersurfaces

Autores: Daniel Huybrechts
Publicado en: Cambridge Stud. Adv. Math.,, 2023
Editor: CUP

Autores: Bayer, Arend; Lahoz, Martí; Macrì, Emanuele; Nuer, Howard; Perry, Alexander; Stellari, Paolo
Publicado en: Publications Mathématiques. Institut de Hautes Études Scientifiques, 2021, ISSN 0073-8301
Editor: Springer Verlag
DOI: 10.1007/s10240-021-00124-6

On automorphic forms of small weight for fake projective planes

Autores: Galkin, Sergey; Karzhemanov, Ilya; Shinder, Evgeny
Publicado en: Mosc. Math. J., 2023, ISSN 1609-3321
Editor: Independent University of Moscow

Characteristic foliations — A survey

Autores: Fabrizio Anella, Daniel Huybrechts
Publicado en: Bulletin of the London Mathematical Society, Edición 56, 2024, Página(s) 2231-2249, ISSN 0024-6093
Editor: Oxford University Press
DOI: 10.1112/blms.13107

Kernels of categorical resolutions of nodal singularities

Autores: Warren Cattani, Franco Giovenzana, Shengxuan Liu, Pablo Magni, Luigi Martinelli, Laura Pertusi, Jieao Song
Publicado en: Rendiconti del Circolo Matematico di Palermo Series 2, Edición 72, 2023, Página(s) 3077-3105, ISSN 0009-725X
Editor: Circolo Matematico di Palermo
DOI: 10.1007/s12215-023-00895-3

Schiffer variations and the generic Torelli theorem for hypersurfaces

Autores: Claire Voisin
Publicado en: Compositio Math., 2022, ISSN 0010-437X
Editor: London Mathematical Society
DOI: 10.1112/s0010437x21007727

On fibrations and measures of irrationality of hyper-Kähler manifolds

Autores: Claire Voisin
Publicado en: Rev. Un. Mat. Argentina, Edición 00416932, 2022, ISSN 0041-6932
Editor: Union Matematica Argentina
DOI: 10.33044/revuma.3319

Chow groups of surfaces of lines in cubic fourfolds

Autores: Daniel Huybrechts
Publicado en: Épijournal de géométrie algébrique, 2023, ISSN 2491-6765
Editor: Association de l'Épijournal de géométrie algébrique
DOI: 10.46298/epiga.2023.10425

Groups Acting on Moduli Spaces of Hyper-Kähler Manifolds

Autores: Francesca Rizzo
Publicado en: Milan Journal of Mathematics, Edición 92, 2024, Página(s) 169-193, ISSN 1424-9286
Editor: Birkhauser Verlag
DOI: 10.1007/s00032-024-00396-7

Compact Kähler manifolds with no projective specialization

Autores: Claire Voisin
Publicado en: Bollettino dell'Unione Matematica Italiana, Springer Verlag, 2021, Edición 2, 2022, ISSN 1972-6724
Editor: Unione Matematica Italiana
DOI: 10.1007/s40574-021-00288-3

Gushel–Mukai varieties with many symmetries and an explicit irrational Gushel–Mukai threefold

Autores: Olivier Debarre; Giovanni Mongardi
Publicado en: Boll. Unione Mat. Ital., Edición 5, 2022, ISSN 1972-6724
Editor: Unione Matematica Italiana
DOI: 10.1007/s40574-021-00293-6

On the Lefschetz standard conjecture for Lagrangian covered hyper-Kähler varieties

Autores: Claire Voisin
Publicado en: Advances in Mathematics, 2022, ISSN 0001-8708
Editor: Academic Press
DOI: 10.1016/j.aim.2021.108108

Hilbert schemes of K3 surfaces, generalized Kummer, and cobordism classes of hyper-Kähler manifolds

Autores: Georg Oberdieck, Jieao Song, Claire Voisin
Publicado en: Pure and Applied Mathematics Quarterly, 2022, ISSN 1558-8599
Editor: International Press

Footnotes to papers of O’Grady and Markman

Autores: Claire Voisin
Publicado en: Mathematische Zeitschrift, 2022, ISSN 0025-5874
Editor: Springer Verlag
DOI: 10.1007/s00209-021-02883-8

Computing Riemann-Roch polynomials and classifying hyper-Kähler fourfold

Autores: Olivier Debarre, Daniel Huybrechts, Emanuele Macri, Claire Voisin
Publicado en: Journal of the American Mathematical Society, Edición 08940347, 2022, ISSN 0894-0347
Editor: American Mathematical Society
DOI: 10.1090/jams/1016

Smooth subvarieties of Jacobians

Autores: Olivier Benoist; Olivier Debarre
Publicado en: Épijournal de géométrie algébrique., Edición 3, 2023, ISSN 2491-6765
Editor: Association de l'Épijournal de géométrie algébrique
DOI: 10.46298/epiga.2023.10321

Gushel-Mukai varieties: intermediate Jacobians

Autores: Debarre, Olivier; Kuznetsov, Alexander
Publicado en: Épijournal Géom, 2020, ISSN 2491-6765
Editor: Association de l'Épijournal de géométrie algébrique

The cotangent bundle of K3 surfaces of degree two

Autores: Fabrizio Anella, Andreas Höring
Publicado en: Épijournal de Géométrie Algébrique, Edición Special volume in honour of..., 2023, ISSN 2491-6765
Editor: SMF
DOI: 10.46298/epiga.2023.9960

Complex multiplication in twistor spaces

Autores: Daniel Huybrechts
Publicado en: Int. Math. Res. Not. IMRN, 2021, ISSN 1073-7928
Editor: Oxford University Press
DOI: 10.1093/imrn/rnaa073

Lagrangian fibrations

Autores: Daniel Huybrechts, Mirko Mauri
Publicado en: Milan Journal Math., 2022, ISSN 1424-9286
Editor: Birkhauser Verlag
DOI: 10.1007/s00032-022-00349-y

Hodge similarities, algebraic classes, and Kuga–Satake varieties

Autores: Mauro Varesco
Publicado en: Mathematische Zeitschrift, Edición 305, 2023, ISSN 0025-5874
Editor: Springer Verlag
DOI: 10.1007/s00209-023-03390-8

Maximal variation of curves on K3 surfaces

Autores: Yajnaseni Dutta, Daniel Huybrechts
Publicado en: Tunisian Journal of Mathematics, 2022, ISSN 2576-7658
Editor: Math. Sci. Publ.
DOI: 10.2140/tunis.2022.4.443

On Abel-Jacobi Maps of Lagrangian Families

Autores: Chenyu Bai
Publicado en: Mathematische Zeitschrift, 2023, ISSN 0025-5874
Editor: Springer Verlag
DOI: 10.1007/s00209-023-03292-9

On the irrationality of moduli spaces of K3 surfaces

Autores: Daniele Agostini; Ignacio Barros; Kuan-Wen Lai
Publicado en: Trans. Amer. Math. Soc, Edición 1, 2023, ISSN 0002-9947
Editor: American Mathematical Society
DOI: 10.1090/tran/8830

Rational curves on primitive symplectic varieties of OG$$_6^s$$-type

Autores: Valeria Bertini, Annalisa Grossi
Publicado en: Mathematische Zeitschrift, Edición 304, 2023, ISSN 0025-5874
Editor: Springer Verlag
DOI: 10.1007/s00209-023-03296-5

A categorical Torelli theorem for hypersurfaces

Autores: Dmitrii Pirozhkov
Publicado en: Bulletin of the London Mathematical Society, Edición 56, 2024, Página(s) 3075-3089, ISSN 0024-6093
Editor: Oxford University Press
DOI: 10.1112/blms.13117

On fibrations and measures of irrationality of hyper-Kähler manifolds

Autores: Claire Voisin
Publicado en: Rev. Un. Mat. Argentina, Edición 9, 2023, ISSN 1669-9637
Editor: Unión Matemática Argentina

Stably semiorthogonally indecomposable varieties

Autores: Dmitrii Pirozhkov
Publicado en: Épijournal de géométrie algébrique, 2023, ISSN 2491-6765
Editor: Association de l'Épijournal de géométrie algébrique

The geometry of antisymplectic involutions, I.

Autores: Emanuele Macri
Publicado en: Mathematische Zeitschrift, 2022, ISSN 0025-5874
Editor: Springer Verlag
DOI: 10.1007/s00209-021-02909-1

Hyper-Kähler manifolds of generalized Kummer type and the Kuga–Satake correspondence

Autores: Claire Voisin, Mauro Varesco
Publicado en: Milan Journal of Mathematics, Edición 1, 2023, ISSN 1424-9286
Editor: Birkhauser Verlag

Stability and applications

Autores: Emanuele Macri, Benjamin Schmidt
Publicado en: Pure and Applied Mathematics Quarterly, 2022, ISSN 1558-8599
Editor: International Press
DOI: 10.4310/pamq.2021.v17.n2.a5

On birational transformations of Hilbert schemes of points on K3 surfaces

Autores: Beri, Pietro; Cattaneo, Alberto
Publicado en: Mathematische Zeitschrift, 2022, ISSN 0025-5874
Editor: Springer Verlag
DOI: 10.1007/s00209-021-02960-y

On type II degenerations of hyperkähler manifolds

Autores: Daniel Huybrechts, Mirko Mauri
Publicado en: Mathematical Research Letters, 2022, ISSN 1073-2780
Editor: Mathematical Publishing
DOI: 10.4310/mrl.2023.v30.n1.a6

Lagrangian fibrations of hyperkähler fourfolds

Autores: Daniel Huybrechts, Chenyang Xu
Publicado en: Journal of the Institute of Mathematics of Jussieu. JIMJ, 2022, ISSN 1474-7480
Editor: Cambridge University Press
DOI: 10.1017/s1474748020000365

The Looijenga–Lunts–Verbitsky Algebra and Verbitsky’s Theorem

Autores: Alessio Bottini
Publicado en: Milan Journal of Mathematics, Edición 1, 2023, ISSN 1424-9286
Editor: Birkhauser Verlag
DOI: 10.1007/s00032-022-00364-z

On the coniveau of rationally connected threefolds

Autores: Claire Voisin
Publicado en: Geometry and Topology, 2022, ISSN 1465-3060
Editor: University of Warwick
DOI: 10.2140/gt.2022.26.2731

Rouquier dimension of some blow-ups

Autores: Dmitrii Pirozhkov
Publicado en: European Journal of Mathematics volume, 2023, ISSN 2199-675X
Editor: Springer
DOI: 10.1007/s40879-023-00639-8

Brilliant families of K3 surfaces: Twistor spaces, Brauer groups, and Noether-Lefschetz loci

Autores: Huybrechts, Daniel
Publicado en: Annals de la Faculte des Sciences de Toulouse, Edición 1, 2022, ISSN 2258-7519
Editor: Centre Mersenne, Annales de la Faculté des Sciences de Toulouse, et les auteurs

Derived Categories of Hyper-Kähler Manifolds via the LLV Algebra

Autores: T. Beckmann
Publicado en: Milan Journal of Mathematics, Edición 9, 2022, ISSN 1424-9286
Editor: Birkhauser Verlag
DOI: 10.1007/s00032-022-00358-x

New rational cubic fourfolds arising from Cremona transformations

Autores: Yu-Wei Fan, Kuan-Wen Lai
Publicado en: Algebraic Geometry, 2023, ISSN 2313-1691
Editor: Foundation Compositio Mathematics
DOI: 10.14231/ag-2023-014

Homological Bondal-Orlov localization conjecture for rational singularities

Autores: Mirko Mauri, Evgeny Shinder
Publicado en: Forum of Mathematics, Sigma, 2022, ISSN 2050-5094
Editor: Cambridge Univ. Press
DOI: 10.1017/fms.2023.65

Nielsen realization problem for derived automorphisms of generic K3 surfaces

Autores: Fan, Yu-Wei; Lai, Kuan-Wen
Publicado en: Edición 1, 2023
Editor: submitted
DOI: 10.48550/arxiv.2302.12663

"Kodaira dimension of moduli spaces of hyperk\""ahler varieties"

Autores: Barros, Ignacio; Beri, Pietro; Brakkee, Emma; Flapan, Laure
Publicado en: Edición 4, 2022
Editor: submitted

On the Hodge and Betti numbers of hyper-Kähler manifolds

Autores: Pietro Beri and Olivier Debarre
Publicado en: submitted, 2021
Editor: under review

The Hodge conjecture for powers of K3 surfaces of Picard number 16

Autores: Mauro Varesco
Publicado en: 2022
Editor: submitted

Effectivity of semi-positive line bundles

Autores: Fabrizio Anella, Daniel Huybrechts
Publicado en: Milan Journal of Mathematics, Edición 14249286, 2022, ISSN 1424-9286
Editor: Springer
DOI: 10.1007/s00032-022-00356-z

Hodge homotheties, algebraic classes, and Kuga-Satake varieties

Autores: Mauro Varesco
Publicado en: 2023
Editor: submitted

The special Brauer group and twisted Picard varieties

Autores: Daniel Huybrechts, Dominique Mattei
Publicado en: 2023
Editor: arxiv

Derived equivalence of elliptic K3 surfaces and Jacobians

Autores: Reinder Meinsma, Evgeny Shinder
Publicado en: 2023
Editor: submitted

On the irrationality of moduli spaces of projective hyperkähler manifolds

Autores: Daniele Agostini, Ignacio Barros, Kuan-Wen Lai
Publicado en: 2023
Editor: submitted

Special subvarieties in the locus of intermediate Jacobians of cubic

Autores: Moritz Hartlieb
Publicado en: 2023
Editor: submitted

Towards a modular construction of OG10

Autores: Alessio Bottini
Publicado en: 2022
Editor: submitted

Categorical Torelli theorem for hypersurfaces

Autores: Dmitrii Pirozhkov
Publicado en: 2022
Editor: submitted

On the transcendental lattices of Hyperkähler manifolds

Autores: Benedetta Piroddi, Ángel David Ríos Ortiz
Publicado en: 2023
Editor: submitted

EPW sextics associated to K3 surfaces

Autores: Pietro Beri
Publicado en: 2020
Editor: submitted

On Chern classes of Lagrangian fibered hyper-Kähler manifolds

Autores: Claire Voisin
Publicado en: 2023
Editor: arxiv

On symplectic birational self-maps of projective hyperkähler manifolds of K3[n]-type

Autores: Yajnaseni Dutta, Dominique Mattei, Yulieth Prieto-Montañez
Publicado en: 2022
Editor: submitted

Cycle classes on abelian varieties and the geometry of the Abel-Jacobi map

Autores: Claire Voisin
Publicado en: 2022
Editor: submitted

Homologically finite-dimensional objects in triangulated categories

Autores: Alexander Kuznetsov, Evgeny Shinder,
Publicado en: 2022
Editor: submitted

The K3 category of a cubic fourfold -- an update

Autores: Daniel Huybrechts
Publicado en: 2023
Editor: arxiv

The unreasonable effectiveness of wall-crossing in algebraic geometry

Autores: Bayer, Arend; Macr��, Emanuele
Publicado en: Edición 22, 2022
Editor: arxiv
DOI: 10.48550/arxiv.2201.03654

Stable Sheaves on K3 Surfaces via Wall-Crossing

Autores: Bottini, Alessio
Publicado en: submitted, 2021
Editor: under review

Algebraic cycles on hyper-Kähler varieties of generalized Kummer type

Autores: Salvatore Floccari, Mauro Varesco
Publicado en: 2023
Editor: submitted

Towards generic base point freeness for generalized Kummer varieties in low dimension

Autores: Mauro Varesco
Publicado en: 2021
Editor: submitted

The geometry of antisymplectic involutions, II

Autores: Laure Flapan, Emanuele Macrì, Kieran G. O'Grady, Giulia Saccà
Publicado en: 2023
Editor: submitted

Geometric representability of 1-cycles on rationally connected threefolds

Autores: Claire Voisin
Publicado en: 2022
Editor: submitted

Complete curves in the moduli space of polarized K3 surfaces and hyper-Kähler manifolds

Autores: Olivier Debarre, Emanuele Macri
Publicado en: submitted, 2021
Editor: under review

Hyper-Kähler manifolds of generalized Kummer type and the Kuga–Satake correspondence

Autores: Claire Voisin, Mauro Varesco
Publicado en: Milan Journal of Mathematics, Edición 14249286, 2022, ISSN 1424-9286
Editor: Springer
DOI: 10.1007/s00032-022-00369-8

On some birational invariants of hyper-Kähler manifolds

Autores: Chenyu Bai
Publicado en: 2022
Editor: submitted

The Intermediate Jacobian fibration of a cubic fourfold containing a plane and fibrations in Prym varieties

Autores: Mattei, Dominique
Publicado en: Edición 1, 2023
Editor: submitted

Splitting unramified Brauer classes by abelian torsors and the period-index problem

Autores: Daniel Huybrechts, Dominique Mattei
Publicado en: 2023
Editor: arxiv

A birational involution

Autores: Pietro Berri and Laurent Manivel
Publicado en: 2022
Editor: submitted

Geometric representability of 1-cycles on rationally connected threefolds

Autores: Voisin, Claire
Publicado en: 2022, Edición 4, 2022
Editor: arxiv
DOI: 10.48550/arxiv.2208.12557

Functorial constructions related to double Poisson vertex algebras

Autores: Bozec, Tristan; Fairon, Maxime; Moreau, Anne
Publicado en: 2023, Edición 4, 2023
Editor: arxiv
DOI: 10.48550/arxiv.2307.06071

On maximally non-factorial nodal Fano threefolds

Autores: Ivan Cheltsov, Igor Krylov, Jesus Martinez Garcia, Evgeny Shinder
Publicado en: 2023
Editor: submitted

Symmetric tensors on the intersection of two quadrics and Lagrangian fibration

Autores: A. Beauville, A. Etesse, A. Höring, J. Liu, C. Voisin
Publicado en: 2023
Editor: submitted

Nodal quintic surfaces and lines on cubic fourfolds

Autores: Daniel Huybrechts
Publicado en: submitted, 2021
Editor: under review

Characteristic foliations

Autores: Fabrizio Anella, Daniel Huybrechts
Publicado en: submitted, 2021
Editor: under review

Gushel-Mukai varieties

Autores: Olivier Debarre
Publicado en: 2020
Editor: under review

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