Collections of Orbits of Hyperplane Type in Homogeneous Spaces, Homogeneous Dynamics, and Hyperkähler Geometry

DOI10.1093/imrn/rnx319zbMath1476.14084arXiv1604.03927OpenAlexW3104677314MaRDI QIDQ5015548

Misha Verbitsky, Ekaterina Amerik

Publication date: 9 December 2021

Published in: International Mathematics Research Notices (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1604.03927

Mathematics Subject Classification ID

Homogeneous spaces and generalizations (14M17) Differential geometry of homogeneous manifolds (53C30) Hyper-Kähler and quaternionic Kähler geometry, ``special geometry (53C26) Discrete subgroups of Lie groups (22E40) Homogeneous flows (37A17) Holomorphic symplectic varieties, hyper-Kähler varieties (14J42)

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Galois representations on the cohomology of hyper-Kähler varieties ⋮ Parabolic automorphisms of hyperkähler manifolds ⋮ Automorphisms of hyperkähler manifolds and groups acting on CAT(0) spaces ⋮ Construction of automorphisms of hyperkähler manifolds ⋮ Finiteness of Klein actions and real structures on compact hyperkähler manifolds

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