Contraction centers in families of hyperkähler manifolds
From MaRDI portal
Publication:2046886
DOI10.1007/s00029-021-00677-8zbMath1473.53074arXiv1903.04884OpenAlexW2921953614MaRDI QIDQ2046886
Ekaterina Amerik, Misha Verbitsky
Publication date: 19 August 2021
Published in: Selecta Mathematica. New Series (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1903.04884
Complex-analytic moduli problems (32G13) Hyper-Kähler and quaternionic Kähler geometry, ``special geometry (53C26)
Related Items
Algebraic approximation and the decomposition theorem for Kähler Calabi-Yau varieties, P=W conjectures for character varieties with symplectic resolution, The global moduli theory of symplectic varieties, Density of Noether-Lefschetz loci of polarized irreducible holomorphic symplectic varieties and applications, Numerical characterization of complex torus quotients, Adjoint -classes on threefolds, Birational geometry of irreducible holomorphic symplectic tenfolds of O'Grady type
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Mapping class group and a global Torelli theorem for hyperkähler manifolds
- Variétés kähleriennes dont la première classe de Chern est nulle
- Ergodic complex structures on hyperkähler manifolds
- A note on the Kähler and Mori cones of hyperkähler manifolds
- Pluricanonical systems on minimal algebraic varieties
- Lipschitz properties of semi-analytic sets
- On locally trivial deformations
- On the length of an extremal rational curve
- Stratifications de Whitney et théorème de Bertini-Sard
- Compact hyperkähler manifolds: Basic results
- Erratum to: Compact hyperkähler manifolds: basic results
- Period map for non-compact holomorphically symplectic manifolds
- On the existence of universal families of marked irreducible holomorphic symplectic manifolds
- Prime exceptional divisors on holomorphic symplectic varieties and monodromy reflections
- On the solutions of analytic equations
- Moving and ample cones of holomorphic symplectic fourfolds
- A global Torelli theorem for singular symplectic varieties
- Le cône kählérien d'une variété hyperkählérienne
- A Superficial Working Guide to Deformations and Moduli
- A survey of Torelli and monodromy results for holomorphic-symplectic varieties
- Variétés analytiques réelles et variétés analytiques complexes
- Imbedding of Holomorphically Complete Complex Spaces
- On deformations of ℚ-factorial symplectic varieties
- Rational Curves on Hyperkähler Manifolds
- Lipschitz stratification of subanalytic sets
- Frobenius Manifolds and Formality of Lie Algebras of Polyvector Fields
- Finiteness results for compact hyperkähler manifolds
- Morrison-Kawamata cone conjecture for hyperkahler manifolds
- Notes on Topological Stability
- Connexité rationnelle des variétés de Fano
- Ergodicity of Flows on Homogeneous Spaces
