Looking out for stable syzygy bundles

被引：29

作者：

Brenner, Holger ^{[1
]}

机构：

[1] Univ Sheffield, Dept Pure Math, Sheffield S3 7RH, S Yorkshire, England

来源：

ADVANCES IN MATHEMATICS | 2008年 / 219卷 / 02期

关键词：

semistable vector bundles; syzygies; tight closure; monomial ideals; generic forms;

D O I：

10.1016/j.aim.2008.04.009

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We study (slope-)stability properties of syzygy bundles on a projective space P-N given by ideal generators of a homogeneous primary ideal. In particular we give a combinatorial criterion for a monomial ideal to have a semistable syzygy bundle. Restriction theorems for semistable bundles yield the same stability results on the generic complete intersection curve. From this we deduce a numerical formula for the tight closure of an ideal generated by monomials or by generic homogeneous elements in a generic two-dimensional complete intersection ring. (C) 2008 Elsevier Inc. All rights reserved.

引用

页码：401 / 427

页数：27

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