On the Betti numbers of compact holomorphic symplectic orbifolds of dimension four
From MaRDI portal
Publication:2231132
DOI10.1007/s00209-020-02682-7zbMath1477.32032arXiv2001.06643OpenAlexW3001487188MaRDI QIDQ2231132
Publication date: 29 September 2021
Published in: Mathematische Zeitschrift (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2001.06643
Symplectic manifolds (general theory) (53D05) Topological aspects of complex manifolds (32Q55) Compact Kähler manifolds: generalizations, classification (32J27)
Related Items (2)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- On IHS fourfolds with \(b_{2}=23\)
- An inequality for Betti numbers of hyper-Kähler manifolds of dimension 6
- On natural deformations of symplectic automorphisms of manifolds of \(K3^{[n}\) type]
- On symplectic automorphisms of hyper-Kähler fourfolds of \(K3^{[2}\) type]
- Mapping class group and a global Torelli theorem for hyperkähler manifolds
- Differential forms on log canonical spaces
- The Gauss-Bonnet theorem for \(V\)-manifolds
- Variétés kähleriennes dont la première classe de Chern est nulle
- The Riemann-Roch theorem for complex V-manifolds
- Compact hyperkähler manifolds: Basic results
- Hyper-Kähler geometry and invariants of three-manifolds
- On reprensentation theory and the cohomology rings of irreducible compact hyper-Kähler manifolds of complex dimension four
- On the Betti numbers of irreducible compact hyperkähler manifolds of complex dimension four
- A decomposition theorem for singular spaces with trivial canonical class of dimension at most five
- Integral operators and integral cohomology classes of Hilbert schemes
- On the integral cohomology of quotients of manifolds by cyclic groups
- Curvature and characteristic numbers of hyper-Kähler manifolds
- On the cohomology of Kähler and hyper-Kähler manifolds
- Chern classes and Hirzebruch-Riemann-Roch theorem for coherent sheaves on complex-projective orbifolds with isolated singularities
- Cohomology of compact hyperkähler manifolds and its applications
- Symplectic singularities
- Global Torelli theorem for irreducible symplectic orbifolds
- Erratum to: ``Mapping class group and a global Torelli theorem for hyperkähler manifolds
- Beauville-Bogomolov lattice for a singular symplectic variety of dimension 4
- \(\mathrm{klt}\) varieties with trivial canonical class: holonomy, differential forms, and fundamental groups
- Algebraic integrability of foliations with numerically trivial canonical bundle
- A virtual Kawasaki-Riemann-Roch formula
- Local classification of quotients of complex manifolds by discontinuous groups
- A global Torelli theorem for singular symplectic varieties
- A survey of Torelli and monodromy results for holomorphic-symplectic varieties
- ON A GENERALIZATION OF THE NOTION OF MANIFOLD
- A conjectural bound on the second Betti number for hyper-Kaehler manifolds
- CLASSIFICATION OF POLARIZED SYMPLECTIC AUTOMORPHISMS OF FANO VARIETIES OF CUBIC FOURFOLDS
- IRREDUCIBLE SYMPLECTIC 4-FOLDS NUMERICALLY EQUIVALENT TO (K3)[2]
- Existence of minimal models for varieties of log general type
- On the ricci curvature of a compact kähler manifold and the complex monge-ampére equation, I
- Desingularized moduli spaces of sheaves on a K3
- Finiteness results for compact hyperkähler manifolds
- A new six-dimensional irreducible symplectic variety
- A decomposition theorem for smoothable varieties with trivial canonical class
- Integral cohomology of the generalized Kummer fourfold
- Singular spaces with trivial canonical class
- Smith theory and irreducible holomorphic symplectic manifolds
- Hodge theory and Lagrangian planes on generalized Kummer fourfolds
- Mixed Hodge Structures
This page was built for publication: On the Betti numbers of compact holomorphic symplectic orbifolds of dimension four