Regularity of the Segre stratification
- 1 July 1976
- journal article
- Published by Cambridge University Press (CUP) in Mathematical Proceedings of the Cambridge Philosophical Society
- Vol. 80 (1) , 91-97
- https://doi.org/10.1017/s0305004100052701
Abstract
Arnol'd (1) remarks that the partition by Segre symbol of the endomorphisms of the complex vector space is a finite constructible stratification: in this paper we verify this statement, and show moreover that it is a Whitney stratification. Some of the arguments are by no means special to the case in hand; however, there seems little point in attempting a general formulation. It is a pleasure to acknowledge helpful conversations with Professor C. T. C. Wall and Dr E. J. N. Looijenga.This publication has 2 references indexed in Scilit:
- Topological Stability of Smooth MappingsLecture Notes in Mathematics, 1976
- Regular stratificationsPublished by Springer Nature ,1975