Differential invariance of the multiplicity of real and complex analytic sets
Algebraic Geometry
2020-09-30 v1 Complex Variables
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.
Keywords
Cite
@article{arxiv.2009.13643,
title = {Differential invariance of the multiplicity of real and complex analytic sets},
author = {José Edson Sampaio},
journal= {arXiv preprint arXiv:2009.13643},
year = {2020}
}