Multi-graded algebras associated to surface singularities

被引：0

作者：

Cutkosky, SD ^{[1
]}

机构：

[1] Univ Missouri, Dept Math, Columbia, MO 65211 USA

来源：

COMMUTATIVE ALGEBRA AND ALGEBRAIC GEOMETRY | 2005年 / 390卷

关键词：

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper we consider a multi-graded algebra T-X associated to the exceptional divisors of a resolution X of a germ of a surface singularity S. We show that the finite generation of T-X for all resolutions X is equivalent to the rationality of the singularity S. In the final Section 5, we survey results from our joint work with Juergen Herzog and Ana Reguera on Hilbert functions and Poincare series associated to T-X.

引用

页码：73 / 83

页数：11

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