On the Lattes maps of P^k

Tien-Cuong Dinh

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On the Lattes maps of P^k

Tien-Cuong Dinh

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Abstract

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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Tien-Cuong Dinh. 2000-11-27. On the Lattes maps of P^k. https://arxiv.org/abs/math/0011226

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