On the Lattes maps of P^k
Abstract
Description
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}.
24 pages, in French
24 pages, in French