Une borne superieure pour l'entropie topologique d'une application rationnelle

Details Une borne superieure pour l'entropie topologique d'une application rationnelle Une borne superieure pour l'entropie topologique d'une application rationnelle

2003-03-21

arxiv.org/abs/math/0303271v2

Mathematics

Dynamical Systems

9 pages, to appear in Ann. of Math

Scientific paper

Let X be a complex projective manifold and f a dominating rational map from X
onto X. We show that the topological entropy h(f) of f is bounded from above by
the logarithm of its maximal dynamical degree.

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