Minimal Whitney stratification and Euler obstruction of discriminants
type: Item
instance of: scholarly article
title: Minimal Whitney stratification and Euler obstruction of discriminants
zbMATH Open document ID: 1365.58022
published in: Geometriae Dedicata
publication date: 2017-02-17T00:00:00Z
review text: The authors show how to obtain the minimal Whitney stratification of the discriminant of finitely determined map germs from \((\mathbb{C}^m,0)\) to \((\mathbb{C}^p,0)\), of corank one if \(n<p\), and only with \(A_k\) singularities, when \(m=n+p\) with \(n\geq 0\). They prove that for the pairs above, this stratification coincides with the stratification in the general theory developed by T. Gaffney for discriminants of any finitely determined holomorphic map germ in the nice dimensions of J. Mather (Theorem 3 and Theorem 6). The local Euler obstruction at \(0\), in a class of discriminants of finitely determined map germs from \((\mathbb{C}^{n+p},0)\) to \((\mathbb{C}^p,0)\) with \(n\geq 0\) and only with \(A_k\) singularities, is also computed.
reviewed by: Dorin Andrica
Mathematics Subject Classification ID: 58K40
Mathematics Subject Classification ID: 58K65
Mathematics Subject Classification ID: 32S15
Mathematics Subject Classification ID: 32S30
Mathematics Subject Classification ID: 58K15
zbMATH DE Number: 6686314
zbMATH Keywords: minimal Whitney stratification
zbMATH Keywords: discriminant of map germs
zbMATH Keywords: stable types of singularities
author: Grazielle Feliciani Barbosa
author: Nivaldo G. Jun Grulha
author: Marcelo José Saia
MaRDI profile type: Publication
full work available at URL: s10711-016-0184-y
OpenAlex ID: W2479970260
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DOI: 10.1007/S10711-016-0184-Y
description: scientific article; zbMATH DE number 6686314