论文标题

真实和复杂分析集的多样性的差异不变性

Differential invariance of the multiplicity of real and complex analytic sets

论文作者

Sampaio, José Edson

论文摘要

本文致力于证明真实和复杂分析集的多样性的差异不变性。特别是,我们证明了Gau-Lipman定理的真实版本,即,证明真实分析集的多重性mod 2是一个差异不变。我们还证明了Gau-Lipman定理的概括。

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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