Parabolic automorphisms of hyperkähler manifolds
From MaRDI portal
Publication:6057761
DOI10.1016/j.matpur.2023.09.006arXiv2112.01951MaRDI QIDQ6057761
Misha Verbitsky, Ekaterina Amerik
Publication date: 26 October 2023
Published in: Journal de Mathématiques Pures et Appliquées. Neuvième Série (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2112.01951
Lagrangian fibrationergodic actionvariation of Hodge structureshyperkähler manifoldparabolic automorphism
Hyper-Kähler and quaternionic Kähler geometry, ``special geometry (53C26) Period matrices, variation of Hodge structure; degenerations (32G20) Variation of Hodge structures (algebro-geometric aspects) (14D07) Higher-dimensional holomorphic and meromorphic dynamics (37F80)
Cites Work
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- Mapping class group and a global Torelli theorem for hyperkähler manifolds
- MMP for moduli of sheaves on \(K3\)s via wall-crossing: nef and movable cones, Lagrangian fibrations
- Hyperbolic geometry of the ample cone of a hyperkähler manifold
- Variétés kähleriennes dont la première classe de Chern est nulle
- Base manifolds for fibrations of projective irreducible symplectic manifolds
- An elementary account of Selberg's lemma
- Volume growth and entropy
- Classification theory of algebraic varieties and compact complex spaces. Notes written in collaboration with P. Cherenack
- On automorphism groups of compact Kähler manifolds
- Compact hyperkähler manifolds: Basic results
- Homology bounds for hyperbolic orbifolds
- Birational geometry of irreducible holomorphic symplectic tenfolds of O'Grady type
- Monodromy and birational geometry of O'Grady's sixfolds
- Hyperkähler SYZ conjecture and semipositive line bundles
- \(k\)-symplectic structures and absolutely trianalytic subvarieties in hyperkähler manifolds
- Picard number of the generic fiber of an abelian fibered hyperkähler manifold
- Isotriviality of certain Kählerian families of nonprojective manifolds
- A survey of Torelli and monodromy results for holomorphic-symplectic varieties
- Topics in Transcendental Algebraic Geometry. (AM-106)
- Foundations of Hyperbolic Manifolds
- Foundations of Ergodic Theory
- Rational Curves on Hyperkähler Manifolds
- Morrison-Kawamata cone conjecture for hyperkahler manifolds
- Higher direct images of dualizing sheaves of Lagrangian fibrations
- PROJECTIVITY CRITERION OF MOISHEZON SPACES AND DENSITY OF PROJECTIVE SYMPLECTIC VARIETIES
- Construction of automorphisms of hyperkähler manifolds
- Collections of Orbits of Hyperplane Type in Homogeneous Spaces, Homogeneous Dynamics, and Hyperkähler Geometry
- Bridgeland's stability and the positive cone of the moduli spaces of stable objects on an abelian surface
- Parabolic automorphisms of projective surfaces (after M. H. Gizatullin)
- Mixed Hodge Structures
- Strict Ergodicity and Transformation of the Torus
- Hyperbolic manifolds and discrete groups
- On the dynamics of the automorphism group of \(K3\) surfaces
