Equisingularity and the theory of integral closure
type: Item
instance of: scholarly article
title: Equisingularity and the theory of integral closure
zbMATH Open document ID: 1479.32013
DOI: 10.1007/978-3-319-73639-6_3
author: Terence Gaffney
publication date: 2019-01-22T00:00:00Z
review text: The paper is an overview of the author's current approach to equisingularity questions. The notion of landscape of a singularity is introduced as an useful setting for equisingularity problems. The Whitney condition and Verdier's \(W\) regularity, known to be equivalent in the complex analytic case, are efficient tools to say when the members of a family of analytic sets are the same. The theory of integral closure of ideals and modules are introduced to give an algebraic description of these conditions and to provide invariants which control them in families. For the entire collection see [Zbl 1392.58001].
reviewed by: Maria Aparecida Soares Ruas
Mathematics Subject Classification ID: 32S15
Mathematics Subject Classification ID: 32S05
zbMATH DE Number: 7005170
zbMATH Keywords: equisingularity
zbMATH Keywords: Whitney condition
zbMATH Keywords: Verdier condition
zbMATH Keywords: integral closure of ideals
zbMATH Keywords: integral closure of modules
MaRDI profile type: Publication
full work available at URL: 978-3-319-73639-6 3
OpenAlex ID: W2793081227
description: scientific article; zbMATH DE number 7005170