实分析集和复分析集多重性的微分不变性

Pub Date : 2020-09-28 DOI:10.5565/publmat6612214

J. E. Sampaio

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引用次数: 5

摘要

本文致力于证明实分析集和复分析集多重性的微分不变性。特别地，我们证明了Gau-Lipman定理的实版本，即证明了实分析集的多重性mod2是微分不变量。我们还证明了Gau-Lipman定理的一个推广。

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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Differential invariance of the multiplicity of real and complex analytic sets

This paper is devoted to proving the differential invariance of the multiplicity of real and complex analytic sets. In particular, we prove the real version of Gau-Lipman's Theorem, i.e., it is proved that the multiplicity mod 2 of real analytic sets is a differential invariant. We prove also a generalization of Gau-Lipman's Theorem.

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