Globally subanalytic arc-symmetric sets
Complex Variables
2026-02-19 v5
Abstract
It is shown that every C-semianalytic arc-symmetric set can be realized as the zero locus of an arc-analytic function. As a consequence, a Nash globally subanalytic arc-symmetric set is the zero locus of a continuous globally-subanalytic function which is arc-analytic outside a simple normal crossings divisor.
Cite
@article{arxiv.2305.13482,
title = {Globally subanalytic arc-symmetric sets},
author = {Janusz Adamus},
journal= {arXiv preprint arXiv:2305.13482},
year = {2026}
}
Comments
To appear in Mathematische Annalen