Another proof of the end curve theorem for normal surface singularities
type: Item
instance of: scholarly article
title: Another proof of the end curve theorem for normal surface singularities
zbMATH Open document ID: 1192.32015
author: Tomohiro Okuma
published in: Journal of the Mathematical Society of Japan
publication date: 2010-03-17T00:00:00Z
review text: Neumann and Wahl introduced the notion of splice-quotient singularities, which is a broad generalization of quasihomogeneous singularities with rational homology sphere links. They proved the End Curve Theorem, that characterizes splice-quotient singularities, applying a theory of numerical semigroups. In this paper, the author gives a different proof of the End Curve Theorem, using combinatorics of monomial cycles and basic ring theory.
reviewed by: Maria Aparecida Soares Ruas
Mathematics Subject Classification ID: 32S25
Mathematics Subject Classification ID: 14B05
Mathematics Subject Classification ID: 14J17
zbMATH DE Number: 5682665
zbMATH Keywords: surface singularity
zbMATH Keywords: splice-quotient singularity
zbMATH Keywords: rational homology sphere
zbMATH Keywords: splice type singularity
zbMATH Keywords: universal abelian cover
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.2969/jmsj/06210001
OpenAlex ID: W2066870479
cites work: The Milnor number and deformations of complex curve singularities
cites work: Q3329566
cites work: The Seiberg-Witten invariant conjecture for splice-quotients
cites work: On the Casson Invariant Conjecture of Neumann–Wahl
cites work: Q3669742
cites work: Q3595858
cites work: The end curve theorem for normal complex surface singularities
cites work: Complete intersection singularities of splice type as universal Abelian covers
cites work: Complex surface singularities with integral homology sphere links
cites work: UNIVERSAL ABELIAN COVERS OF RATIONAL SURFACE SINGULARITIES
cites work: Universal abelian covers of certain surface singularities
cites work: The geometric genus of splice-quotient singularities
cites work: Filtered rings, filtered blowing-ups and normal two-dimensional singularities with ``star-shaped'' resolution
DOI: 10.2969/JMSJ/06210001
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description: scientific article