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arXiv · 2303.07699

On the Nash points of subanalytic sets

Andre Belotto da Silva·Octave Curmi·Guillaume Rond
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Abstract

Based on a recently developed rank Theorem for Eisenstein power series, we provide new proofs of the following two results of W. Pawlucki: I) The non regular locus of a complex or real analytic map is an analytic set. II) The set of semianalytic or Nash points of a subanalytic set X is a subanalytic set, whose complement has codimension two in X.

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Andre Belotto da Silva, Octave Curmi, Guillaume Rond. 2023-03-14. On the Nash points of subanalytic sets. https://arxiv.org/abs/2303.07699

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