Cohornological characterization of vector bundles on Grassmannians of lines

被引：12

作者：

Arrondo, Enrique ^{[1
]}

Malaspina, Francesco ^{[2
]}

机构：

[1] Univ Complutense Madrid, Dept Algebra, Fac Ciencias Matemat, E-28040 Madrid, Spain

[2] Politecn Torino, I-10129 Turin, Italy

来源：

JOURNAL OF ALGEBRA | 2010年 / 323卷 / 04期

关键词：

Universal bundles on Grassmannians; Castelnuovo-Mumford regularity; CASTELNUOVO-MUMFORD REGULARITY; CRITERION; QUADRICS; SPACES;

D O I：

10.1016/j.jalgebra.2009.11.007

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We introduce a notion of regularity for coherent sheaves on Grassmannians of lines. We use this notion to prove some extension of Evans-Griffith criterion to characterize direct sums of line bundles. We also give. in the line of previous results by Costa and Miro-Roig, a cohomological characterization of exterior and symmetric powers of the universal bundles of the Grassmannian. (C) 2009 Elsevier Inc. All rights reserved.

引用

页码：1098 / 1106

页数：9

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