English

A characterization of Whitney a-regular complex analytic stratifications

Complex Variables 2012-12-11 v2

Abstract

We prove that the openness of the set of maps, between a Stein manifold and an Oka manifold, transverse to a stratification of a complex analytic subvariety in the target implies that the stratification is Whitney aa-regular. Our result can be seen as a complex version of Trotman's theorem.

Cite

@article{arxiv.1209.1282,
  title  = {A characterization of Whitney a-regular complex analytic stratifications},
  author = {Saurabh Trivedi},
  journal= {arXiv preprint arXiv:1209.1282},
  year   = {2012}
}

Comments

8 pages

R2 v1 2026-06-21T22:00:54.033Z