On the Lattes maps of P^k

Details On the Lattes maps of P^k On the Lattes maps of P^k

2000-11-27

arxiv.org/abs/math/0011226v1

Mathematics

Complex Variables

24 pages, in French

Scientific paper

Let f be a polynomial endomorphism of degree d>1 of C^k (k>1) which extends
to a holomorphic endomorphism of P^k. Assume that the maximal order Julia set
of f is laminated by real hypersurfaces in some open set. We show that f is
homogenous and is a polynomial lift of a Lattes endomorphism of P^{k-1}.

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