The second integral cohomology of moduli spaces of sheaves on K3 and abelian surfaces
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Publication:6122687
DOI10.1016/j.aim.2024.109519arXiv2012.10649OpenAlexW4391765492MaRDI QIDQ6122687
Arvid Perego, Antonio Rapagnetta
Publication date: 1 March 2024
Published in: Advances in Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2012.10649
Surfaces and higher-dimensional varieties (14Jxx) Families, fibrations in algebraic geometry (14Dxx) (Co)homology theory in algebraic geometry (14Fxx)
Cites Work
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- Mapping class group and a global Torelli theorem for hyperkähler manifolds
- Groupe de Picard des variétés de modules de fibrés semi-stable sur les courbes algébriques. (Picard groups of moduli varieties of semi- stable bundles on algebraic curves)
- Variétés kähleriennes dont la première classe de Chern est nulle
- Topological invariants of O'Grady's six dimensional irreducible symplectic variety
- Universal families of extensions
- Symplectic structure of the moduli space of sheaves on an abelian or K 3 surface
- Hodge spectral sequence and symmetry on compact Kähler spaces
- Extendability of differential forms on non-isolated singularities
- Riemann-Roch and topological K-theory for singular varieties
- Rationalité des singularités canoniques
- Riemann-Roch for singular varieties
- Seshadri constants and periods of polarized abelian varieties
- On the integral cohomology of quotients of manifolds by cyclic groups
- Calabi-Yau manifolds and related geometries. Lectures at a summer school in Nordfjordeid, Norway, June 2001
- Symplectic singularities
- The global moduli theory of symplectic varieties
- Beauville-Bogomolov lattice for a singular symplectic variety of dimension 4
- \(\mathrm{klt}\) varieties with trivial canonical class: holonomy, differential forms, and fundamental groups
- On base manifolds of Lagrangian fibrations
- Period mappings with applications to symplectic complex spaces
- Algebraic integrability of foliations with numerically trivial canonical bundle
- On the Beauville form of the known irreducible symplectic varieties
- Singular symplectic moduli spaces
- Seminar of algebraic geometry du Bois-Marie 1963--1964. Topos theory and étale cohomology of schemes (SGA 4). Vol. 1: Topos theory. Exp. I--IV
- A global Torelli theorem for singular symplectic varieties
- Extension of 2-forms and symplectic varieties
- Lagrangian fibrations on hyperk\"ahler manifolds - On a question of Beauville
- A survey of Torelli and monodromy results for holomorphic-symplectic varieties
- Examples of Irreducible Symplectic Varieties
- La singularité de O’Grady
- Ample Divisors on Abelian Surfaces
- Projective Models of K - 3 Surfaces
- Desingularized moduli spaces of sheaves on a K3
- The weight-two Hodge structure of moduli spaces of sheaves on a K3 surface
- A new six-dimensional irreducible symplectic variety
- Integral cohomology of the generalized Kummer fourfold
- PROJECTIVITY CRITERION OF MOISHEZON SPACES AND DENSITY OF PROJECTIVE SYMPLECTIC VARIETIES
- Deformation of the O'Grady moduli spaces
- Factoriality Properties of Moduli Spaces of Sheaves on Abelian and K3 Surfaces
- Integral cohomology of quotients via toric geometry
- Low degree Hodge theory for klt varieties
- Singular spaces with trivial canonical class
- Betti numbers of moduli of stable sheaves on some surfaces
- Deformation theory of singular symplectic \(n\)-folds
- Moduli spaces of stable sheaves on abelian surfaces.
- Irreducible symplectic varieties from moduli spaces of sheaves on K3 and Abelian surfaces
