Another proof of the end curve theorem for normal surface singularities
Tomohiro OKUMA
Source: J. Math. Soc. Japan Volume 62, Number 1
(2010), 1-11.
Abstract
Neumann and Wahl introduced the notion of splice-quotient singularities, which is a broad generalization of quasihomogeneous singularities with rational homology sphere links, and proved the End Curve Theorem that characterizes splice-quotient singularities. The purpose of this paper is to give another proof of the End Curve Theorem. We use combinatorics of “monomial cycles” and some basic ring theory, whereas they applied their theory of numerical semigroups.
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Keywords: surface singularity; splice-quotient singularity; rational homology sphere; splice type singularity; universal abelian cover
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Links and Identifiers
Permanent link to this document: http://projecteuclid.org/euclid.jmsj/1265380422
Digital Object Identifier: doi:10.2969/jmsj/06210001
Zentralblatt MATH identifier: 05682665
Mathematical Reviews number (MathSciNet): MR2648226
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