WEIGHTED HOMOGENEOUS SURFACE SINGULARITIES HOMEOMORPHIC TO BRIESKORN COMPLETE INTERSECTIONS

被引：0

作者：

Okuma, Tomohiro ^{[1
]}

机构：

[1] Yamagata Univ, Dept Math Sci, Yamagata 9908560, Japan

来源：

JOURNAL OF SINGULARITIES | 2021年 / 23卷

关键词：

Surface singularities; weighted homogeneous singularities; Brieskorn complete inter-sections; geometric genus; maximal ideal cycles; MAXIMAL IDEAL CYCLES; GEOMETRIC GENUS; COHOMOLOGY; RINGS;

D O I：

10.5427/jsing.2021.23j

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

For a given topological type of a normal surface singularity, there are various types of complex structures which realize it. We are interested in the following problem: Find the maximum of the geometric genus and a condition for that the maximal ideal cycle coincides with the fundamental cycle on the minimal good resolution. In this paper, we study weighted homogeneous surface singularities homeomorphic to Brieskorn complete intersection singularities from the perspective of the problem.

引用

页码：170 / 193

页数：24

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