Equisingular deformations of normal surface singularities. I
type: Item
instance of: scholarly article
title: Equisingular deformations of normal surface singularities. I
zbMATH Open document ID: 0358.14007
DOI: 10.2307/1971049
author: Jonathan Wahl
published in: Annals of Mathematics. Second Series
publication date: 1976-01-01T00:00:00Z
review text: The author tackles the problem of defining equisingular infinitesimal deformations of normal singular points of algebraic surfaces \(S\). The technique is to study deformations of a resolution \(f: X\to S\) of the singularity \(x \in S\) which preserve the essential numerical (topological) data of the exceptional curve \(E=f^{-1}(x)\), and which blow down to deformations of \(S\). Much of this interesting paper consists of discussing the weaknesses as well as the strengths of this approach, for instance in comparison with the theory based on simultaneous blowing up along normally flat sections, which is generally more special than the authorts notion but coincides for certain well-studied classes of singularities.
reviewed by: Lawrence Brenton
Mathematics Subject Classification ID: 14E15
Mathematics Subject Classification ID: 14J15
Mathematics Subject Classification ID: 14B10
Mathematics Subject Classification ID: 14D15
Mathematics Subject Classification ID: 32G05
zbMATH DE Number: 3557922
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.2307/1971049
OpenAlex ID: W2315232943
description: scientific article; zbMATH DE number 3557922