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
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.