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THE LE-GREUEL FORMULA FOR FUNCTIONS ON ANALYTIC SPACES

Authors
  • Callejas-Bedregal, Roberto
  • Morgado, Michelle F. Z.
  • Saia, Marcelo
  • Seade, Jose
Publication Date
Sep 01, 2016
Source
Repositório Institucional UNESP
Keywords
Language
English
License
Unknown
External links

Abstract

In this article we give an extension of the Le-Greuel formula to the general setting of function germs (f, g) defined on a complex analytic variety X with arbitrary singular set, where f = (f(1), ..., f(k)) (X, (0) under bar) -> (C-k, (0) under bar) is generically a submersion with respect to some Whitney stratification on X. We assume further that the dimension of the zero set V(f) is larger than 0, that f has the Thom a f-property with respect to this stratification, and g : (X, (c) under bar) -> (C, 0) has an isolated critical point in the stratified sense, both on X and on V(f).

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