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arXiv · 2009.13643

Differential invariance of the multiplicity of real and complex analytic sets

José Edson Sampaio
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Abstract

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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José Edson Sampaio. 2020-09-28. Differential invariance of the multiplicity of real and complex analytic sets. https://arxiv.org/abs/2009.13643

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