On Lattès mappings of \({\mathbb P}^k\)
type: Item
instance of: scholarly article
title: On Lattès mappings of \({\mathbb P}^k\)
zbMATH Open document ID: 1026.37040
DOI: 10.1016/S0021-7824(01)01205-3
author: Tien-Cuong Dinh
published in: Journal de Mathématiques Pures et Appliquées. Neuvième Série
publication date: 2002-07-24T00:00:00Z
review text: The author proves the following result: Let \(f\) be a polynomial endomorphism of degree \(d\geq 2\) of \(\mathbb{C}^k\) \((k\geq 2)\) that extends to a holomorphic endomorphism of \(\mathbb{P}^k\). Suppose that the maximal-order Julia set of \(f\) is laminated by real hypersurfaces in some open set. Then \(f\) is homogeneous and it is a polynomial lift of a Lattès map of \(\mathbb{P}^k\).
reviewed by: Viorel Vâjâitu
Mathematics Subject Classification ID: 37F10
Mathematics Subject Classification ID: 30D05
Mathematics Subject Classification ID: 37F45
zbMATH DE Number: 1770839
zbMATH Keywords: Green current
zbMATH Keywords: Julia se
zbMATH Keywords: Lattès map
MaRDI profile type: Publication
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full work available at URL: s0021-7824(01)01205-3
OpenAlex ID: W1972324437
description: scientific article; zbMATH DE number 1770839