Galois representations on the cohomology of hyper-Kähler varieties
DOI10.1007/s00209-021-02923-3zbMath1485.14017arXiv2007.01841OpenAlexW3039474021WikidataQ114231071 ScholiaQ114231071MaRDI QIDQ2126093
Publication date: 14 April 2022
Published in: Mathematische Zeitschrift (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2007.01841
Calabi-Yau manifolds (algebro-geometric aspects) (14J32) Étale and other Grothendieck topologies and (co)homologies (14F20) Arithmetic ground fields for surfaces or higher-dimensional varieties (14J20) Transcendental methods, Hodge theory (algebro-geometric aspects) (14C30) (Equivariant) Chow groups and rings; motives (14C15) Holomorphic symplectic varieties, hyper-Kähler varieties (14J42)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Birational boundedness for holomorphic symplectic varieties, Zarhin's trick for \(K3\) surfaces, and the Tate conjecture
- Mapping class group and a global Torelli theorem for hyperkähler manifolds
- On the Tate and Mumford-Tate conjectures in codimension 1 for varieties with \(h^{2,0}=1\)
- Variétés kähleriennes dont la première classe de Chern est nulle
- A note on the Kähler and Mori cones of hyperkähler manifolds
- Compact hyperkähler manifolds: Basic results
- For an unconditional theory of motives
- A Lie algebra attached to a projective variety
- Families of motives and the Mumford-Tate conjecture
- On the Shafarevich and Tate conjectures for hyperkähler varieties
- Cohomology of compact hyperkähler manifolds and its applications
- On the Hodge structures of compact hyper-Kähler manifolds
- Supersingular irreducible symplectic varieties
- On the Mumford-Tate conjecture for hyperkähler varieties
- Moduli spaces of sheaves on \(K3\) surfaces and Galois representations
- La conjecture de Weil pour les surfaces K3
- Some metric properties of arithmetic quotients o f symmetric spaces and an extension theorem
- A survey of Torelli and monodromy results for holomorphic-symplectic varieties
- Rational Curves on Hyperkähler Manifolds
- Moduli spaces of irreducible symplectic manifolds
- Desingularized moduli spaces of sheaves on a K3
- Finiteness results for compact hyperkähler manifolds
- A new six-dimensional irreducible symplectic variety
- Collections of Orbits of Hyperplane Type in Homogeneous Spaces, Homogeneous Dynamics, and Hyperkähler Geometry
- Deformation Principle and André motives of Projective Hyperkähler Manifolds
- On the monodromy of moduli spaces of sheaves on K3 surfaces
- On the motive of O’Grady’s ten-dimensional hyper-Kähler varieties
This page was built for publication: Galois representations on the cohomology of hyper-Kähler varieties
