C²多项式自同构的一个闭引理

IF 1 4区数学 Q1 MATHEMATICS

Asterisque Pub Date : 2017-09-05 DOI:10.24033/ast.1098

Romain Dujardin

引用次数: 6

摘要

证明了对于C^2的多项式微分同构，除了少数明显的情况外，任何不变测度的支持都包含在鞍形周期点集合的闭包中。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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A closing lemma for polynomial automorphisms of C²

We prove that for a polynomial diffeomorphism of C^2 , the support of any invariant measure, apart from a few obvious cases, is contained in the closure of the set of saddle periodic points.

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来源期刊

Asterisque MATHEMATICS-

CiteScore

2.90

自引率

0.00%

发文量

审稿时长

>12 weeks

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