Free deformations of hypersurface singularities
type: Item
instance of: scholarly article
title: Free deformations of hypersurface singularities
zbMATH Open document ID: 1220.14004
published in: Journal of Mathematical Sciences (New York)
publication date: 2011-07-12T00:00:00Z
review text: \textit{K. Saito} introduced the notion of the so-called Saito free divisors and systems of uniformization equations with respect to them [``On the uniformization of complements of discriminant loci'', RIMS Kokyuroku 287, 117--137 (1977)]. The geometric background of the theory of Saito free divisors and uniformization equations is the theory on versal deformations of isolated hypersurface singularities. The paper is devoted to the study of the classification problem for Saito free divisors, making use of the deformation theory of varieties. An approach for the computation of free deformations of quasicones over quasismooth varieties based on properties of deformations of varieties with \(\mathbb{G}_m\)-action is described. Some applications are discussed, including the problem of compactification of modular spaces and the computation of free deformations for certain simple and unimodal singularities.
reviewed by: Gerhard Pfister
Mathematics Subject Classification ID: 14B12
Mathematics Subject Classification ID: 32S25
Mathematics Subject Classification ID: 32S30
zbMATH DE Number: 5919507
zbMATH Keywords: free divisor
zbMATH Keywords: deformation theory
zbMATH Keywords: quasismooth varieties
zbMATH Keywords: free deformations
author: Aleksandr G. Aleksandrov
author: Jiro Sekiguchi
describes a project that uses: SINGULAR
MaRDI profile type: Publication
full work available at URL: s10958-011-0328-4
OpenAlex ID: W2087835834
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DOI: 10.1007/S10958-011-0328-4
description: scientific article; zbMATH DE number 5919507