Critical Points of Functions on Singular Spaces
Algebraic Geometry
2007-05-23 v1
Abstract
We compare and contrast various notions of the "critical locus" of a complex analytic function on a singular space. After choosing a topological variant as our primary notion of the critical locus, we justify our choice by generalizing L\^e and Saito's result that constant Milnor number implies that Thom's a_f condition is satisfied.
Keywords
Cite
@article{arxiv.math/9908104,
title = {Critical Points of Functions on Singular Spaces},
author = {David B. Massey},
journal= {arXiv preprint arXiv:math/9908104},
year = {2007}
}
Comments
35 pages