Remarks on degenerations of hyper-Kähler manifolds
From MaRDI portal
Publication:2416563
zbMath1435.14038arXiv1704.02731MaRDI QIDQ2416563
Giulia Saccà, Radu Laza, János Kollár, Claire Voisin
Publication date: 23 May 2019
Published in: Annales de l'Institut Fourier (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1704.02731
Singularities in algebraic geometry (14B05) Calabi-Yau manifolds (algebro-geometric aspects) (14J32) Structure of families (Picard-Lefschetz, monodromy, etc.) (14D05) Minimal model program (Mori theory, extremal rays) (14E30) Torelli problem (14C34) Holomorphic symplectic varieties, hyper-Kähler varieties (14J42)
Related Items
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- The dual complex of Calabi-Yau pairs
- Weights on cohomology, invariants of singularities, and dual complexes
- Mapping class group and a global Torelli theorem for hyperkähler manifolds
- Insignificant limit singularities of surfaces and their mixed Hodge structure
- Varieties fibered by good minimal models
- From real affine geometry to complex geometry
- Twisted cubics on singular cubic fourfolds -- on Starr's fibration
- Differential forms on log canonical spaces
- Variétés kähleriennes dont la première classe de Chern est nulle
- Topological triviality of various analytic families
- Flops connect minimal models
- The moduli space of cubic fourfolds via the period map
- Base manifolds for fibrations of projective irreducible symplectic manifolds
- The period map for cubic fourfolds
- Simultaneous resolution of threefold double points
- A numerical criterion for uniruledness
- Dégénérations de Lefschetz et variations de structures de Hodge. (Lefschetz degenerations and variations of Hodge structure)
- Degeneration of surfaces with trivial canonical bundle
- Degeneration of Kähler manifolds
- Equisingular deformations of normal surface singularities. I
- A complete moduli space for K3 surfaces of degree 2
- Compact hyperkähler manifolds: Basic results
- On the incompleteness of the Weil-Petersson metric along degenerations of Calabi-Yau manifolds
- Large complex structure limits of \(K3\) surfaces
- A hyper-Kähler compactification of the intermediate Jacobian fibration associated with a cubic 4-fold
- Semi-stable extensions over 1-dimensional bases
- Mirror symmetry is \(T\)-duality
- Cohomology of compact hyperkähler manifolds and its applications
- On the cohomology ring of a simple hyperkähler manifold (on the results of Verbitsky)
- Symplectic singularities
- Semi-stable minimal model program for varieties with trivial canonical divisor
- Twisted cubics on cubic fourfolds
- On the symplectic eightfold associated to a Pfaffian cubic fourfold
- A GIT construction of degenerations of Hilbert schemes of points
- On monodromies of a degeneration of irreducible symplectic Kähler manifolds
- Conditions for the analyticity of certain sets
- The intermediate Jacobian of the cubic threefold
- On the periods of certain rational integrals. I, II
- Théorie de Hodge. II. (Hodge theory. II)
- Théorie de Hodge. III
- Lagrangian fibrations on hyperk\"ahler manifolds - On a question of Beauville
- The essential skeleton of a degeneration of algebraic varieties
- Hyper-Kähler fourfolds and Grassmann geometry
- The moduli space of cubic threefolds as a ball quotient
- Weight functions on non-Archimedean analytic spaces and the Kontsevich–Soibelman skeleton
- On deformations of ℚ-factorial symplectic varieties
- Existence of minimal models for varieties of log general type
- Log canonical singularities are Du Bois
- Degenerations of K3 Surfaces of Degree 4
- Classification of Three-Dimensional Flips
- On the Torelli problem for kählerian $K-3$ surfaces
- On degenerations of algebraic surfaces
- DEGENERATIONS OFK3 SURFACES AND ENRIQUES SURFACES
- Unsolved Problems in the Locomotion of Mammalian Sperm
- The dual complex of singularities
- Introduction
- What is log terminal?
- The geometry of degenerations of Hilbert schemes of points
- Deformation theory of singular symplectic \(n\)-folds