On the Nash points of subanalytic sets
Algebraic Geometry
2023-03-15 v1
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.
Cite
@article{arxiv.2303.07699,
title = {On the Nash points of subanalytic sets},
author = {Andre Belotto da Silva and Octave Curmi and Guillaume Rond},
journal= {arXiv preprint arXiv:2303.07699},
year = {2023}
}
Comments
Important: Our original pre-print arXiv:2205.03079 had two set of distinct results. We have divided that pre-print in two. This paper contains the second set of results ; v2 of the original submission contains the first set of results. We have divided our pre-print