Groupes commutatifs d'automorphismes d'une variete Kahlerienne compacte

Details Groupes commutatifs d'automorphismes d'une variete Kahlerienne compacte Groupes commutatifs d'automorphismes d'une variete Kahlerienne compacte

2002-12-05

arxiv.org/abs/math/0212081v1

Mathematics

Dynamical Systems

18 pages, nouvelle version

Scientific paper

Let 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)

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