Bimeromorphic automorphism groups of non-projective hyperkähler manifolds-a note inspired by C.T. McMullen

DOI10.4310/jdg/1197320605zbMath1141.14021arXivmath/0312515OpenAlexW1604799293WikidataQ115195750 ScholiaQ115195750MaRDI QIDQ2427048

Keiji Oguiso

Publication date: 15 May 2008

Published in: Journal of Differential Geometry (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0312515

zbMATH Keywords

\(K3\) surfaceshyperkähler manifoldsautomorphisms of complex manifolds

Mathematics Subject Classification ID

(K3) surfaces and Enriques surfaces (14J28) Hyper-Kähler and quaternionic Kähler geometry, ``special geometry (53C26)

Related Items (13)

On endomorphisms of projective varieties with numerically trivial canonical divisors ⋮ Some dynamical properties of pseudo-automorphisms in dimension 3 ⋮ Criteria for the existence of equivariant fibrations on algebraic surfaces and hyperkähler manifolds and equality of automorphisms up to powers: a dynamical viewpoint ⋮ Simply connected Voisin manifolds of dimension four ⋮ Automorphisms of hyperkähler manifolds and groups acting on CAT(0) spaces ⋮ Twisted cotangent bundle of hyperkähler manifolds (with an appendix by Simone Diverio) ⋮ COHOMOLOGICALLY HYPERBOLIC ENDOMORPHISMS OF COMPLEX MANIFOLDS ⋮ Automorphism groups of rational surfaces ⋮ A note on automorphisms and birational transformations of holomorphic symplectic manifolds ⋮ Finite groups acting on elliptic surfaces ⋮ Finiteness of Klein actions and real structures on compact hyperkähler manifolds ⋮ \(k\)-symplectic structures and absolutely trianalytic subvarieties in hyperkähler manifolds ⋮ Hyper-Kähler manifolds

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