余维叶状中共振的消除

Pub Date : 2015-01-01 DOI:10.5565/PUBLMAT_59115_05

M. F. Duque

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引用次数: 13

摘要

Cano在[3]中解决了余维1叶的胚芽在三维中的奇异约简问题。作者将证明分为两步。第一个是得到前简单点，第二个是从前简单点到简单点的过渡。在任意维度的环境空间中，问题是开放的。本文解决了问题的第二步。

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Elimination of resonances in codimension one foliations

The problem of reduction of singularities for germs of codimension one foliations in dimension three has been solved by Cano in [3]. The author divides the proof in two steps. The first one consists in getting pre-simple points and the second one is the passage from pre-simple to simple points. In arbitrary dimension of the ambient space the problem is open. In this paper we solve the second step of the problem.

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