Automorphisms of hyperkähler manifolds in the view of topological entropy

dc.creatorOguiso, Keiji
dc.date2004-07-28
dc.date2005-04-25
dc.date.accessioned2026-07-07T05:10:45Z
dc.date.available2026-07-07T05:10:45Z
dc.descriptionFirst we show that any group of automorphisms of null-entropy of a projective hyperkähler manifold $M$ is almost abelian of rank at most $ρ(M) - 2$. We then characterize automorphisms of a K3 surface with null-entropy and those with positive entropy in algebro-geometric terms. We also give an example of a group of automorphisms which is not almost abelian in each dimension.
dc.description14 pages, important references are added. Two questions and relevant parts are moved because either they are known or solved by myself
dc.identifierhttps://arxiv.org/abs/math/0407476
dc.identifierhttp://arxiv.org/abs/math/0407476
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/72031
dc.subjectAlgebraic Geometry
dc.subject14J50, 14J40, 14J28, 37B40
dc.titleAutomorphisms of hyperkähler manifolds in the view of topological entropy
dc.typetext

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