English

The A_f condition and relative conormal spaces for functions with non-vanishing derivative

Algebraic Geometry 2020-09-21 v3 Complex Variables

Abstract

We introduce a join construction as a way of completing the description of the relative conormal space of an analytic function on a complex analytic space that has a non-vanishing derivative at the origin. Then we show how to obtain a numerical criterion for Thom's A_f condition.

Keywords

Cite

@article{arxiv.1802.05338,
  title  = {The A_f condition and relative conormal spaces for functions with non-vanishing derivative},
  author = {Terence Gaffney and Antoni Rangachev},
  journal= {arXiv preprint arXiv:1802.05338},
  year   = {2020}
}

Comments

11 pages; the exposition of the paper is improved based on the referees' comments