Infinitesimale Deformationen von Diedersingularitäten. (Infinitesimal deformations of dihedral singularities)
type: Item
instance of: scholarly article
title: Infinitesimale Deformationen von Diedersingularitäten. (Infinitesimal deformations of dihedral singularities)
zbMATH Open document ID: 0728.32017
DOI: 10.1007/BF02942334
author: N. E. Zubov
published in: Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg
publication date: 1989-01-01T00:00:00Z
review text: In the case of quotient singularities \textit{O. Riemenschneider}, the author and \textit{J. Wahl} in Math. Ann. 286, No.1-3, 529-535 (1990; Zbl 0681.14018) computed the \({\mathbb{C}}\)-dual space \(T^{1*}\) of the vector space of infinitesimal deformations and the orthogonal complement of the Artin component in \(T^{1*}.\) In the paper under review similar computations are carried out in the case of dihedral singularities. This simplifies earlier computations by \textit{K. Behnke} and \textit{O. Riemenschneider} in Manuscr. Math. 20, 377- 400 (1977; Zbl 0354.32031); corrections in 24, 81 (1978).
Mathematics Subject Classification ID: 32S30
Mathematics Subject Classification ID: 14B10
Mathematics Subject Classification ID: 14J17
zbMATH DE Number: 4202701
zbMATH Keywords: quotient singularities
zbMATH Keywords: infinitesimal deformations
zbMATH Keywords: dihedral singularities
reviewed by: Dirk Siersma
MaRDI profile type: Publication
cites work: Q3820898
cites work: Q4723868
cites work: Diedersingularitäten
cites work: Infinitesimale Deformationen von Diedersingularitäten
cites work: Q4093557
cites work: Q4141328
cites work: Deformationen von Quotientensingularitäten (nach zyklischen Gruppen)
cites work: Equations defining rational singularities
cites work: Equisingular deformations of normal surface singularities. I
full work available at URL: https://doi.org/10.1007/bf02942334
OpenAlex ID: W2102309444
description: scientific article; zbMATH DE number 4202701