Another proof of the end curve theorem for normal surface singularities: Dedicated to Professor Kimio Watanabe on the occasion of his sixtieth birthday

Tomohiro Okuma

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Another proof of the end curve theorem for normal surface singularities: Dedicated to Professor Kimio Watanabe on the occasion of his sixtieth birthday

机译：正常曲面奇异性的终点曲线定理的另一证明：渡边喜美雄教授六十岁生日之际献给他

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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.

机译：Neumann和Wahl引入了“拼接商奇点”的概念，它是具有合理同源性球面链接的拟齐奇奇点的广义推广，并证明了表征弯曲商奇点的“端曲线定理”。本文的目的是给出最终曲线定理的另一证明。我们使用“单项循环”的组合学和一些基本的环理论，而他们应用了数值半群理论。

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来源
《Journal of the Mathematical Society of Japan》 |2010年第1期|1-11|共11页
作者
Tomohiro Okuma;
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作者单位

Department of Education Yamagata University Yamagata 990-8560, Japan;

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收录信息美国《科学引文索引》(SCI);
原文格式 PDF
正文语种 eng
中图分类
关键词
surface singularity; splice-quotient singularity; rational homology sphere; splice type singularity; universal abelian cover;

机译：表面奇点拼接商奇异性有理同源性领域拼接类型奇点;通用阿贝尔封面;

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Another proof of the end curve theorem for normal surface singularities: Dedicated to Professor Kimio Watanabe on the occasion of his sixtieth birthday

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