Groupes commutatifs d'automorphismes d'une variete Kahlerienne compacte

dc.creatorDinh, T. C.
dc.creatorSibony, N.
dc.date2002-12-05
dc.date.accessioned2026-07-07T04:53:34Z
dc.date.available2026-07-07T04:53:34Z
dc.descriptionLet V be a compact Kahler manifold. Let G' be a commutative subgroup of Aut(V) and U the set of elements of zero entropy of G'. Then U is a group and G' is isomorphic to the direct product of groups U and G where G is a subgroup of G' such that all elements of G, except the identity, are of positive entropy. Moreover, G is a free commutative group with rank(G)<dim(V). The estimate is sharp. When rank(G)=dim(V)-1, U is finite. Rank(G) satisfies other inequalities involving the dimensions of Dolbeault cohomology groups of V.
dc.description18 pages, nouvelle version
dc.identifierhttps://arxiv.org/abs/math/0212081
dc.identifierhttp://arxiv.org/abs/math/0212081
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/65897
dc.subjectDynamical Systems
dc.titleGroupes commutatifs d'automorphismes d'une variete Kahlerienne compacte
dc.typetext

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