Surface singularities on cyclic coverings and an inequality for the signature

被引：5

作者：

Ashikaga, T ^{[1
]}

机构：

[1] Tohoku Gakuin Univ, Fac Engn, Tagajo, Miyagi 985, Japan

来源：

JOURNAL OF THE MATHEMATICAL SOCIETY OF JAPAN | 1999年 / 51卷 / 02期

关键词：

signature; Milnor fiber; cyclic covering; plane curve singularity; geometric genus; Milnor number;

D O I：

10.2969/jmsj/05120485

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

For the signature of the Milnor fiber of a surface singularity of cyclic type, we prove a certain inequality, which naturally induce an answer of Durfee's conjecture in this case. For the proof, we use a certain perturbation method on the way of Hirzebruch's resolution process.

引用

页码：485 / 521

页数：37

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