Cohomology of coherent sheaves and series of supernatural bundles

被引：16

作者：

Eisenbud, David ^{[1
]}

Schreyer, Frank-Olaf ^{[2
]}

机构：

[1] Univ Calif Berkeley, Dept Math, Berkeley, CA 94720 USA

[2] Univ Saarland, D-66123 Saarbrucken, Germany

来源：

JOURNAL OF THE EUROPEAN MATHEMATICAL SOCIETY | 2010年 / 12卷 / 03期

基金：

美国国家科学基金会;

关键词：

KLEIMAN-BERTINI THEOREM; BETTI-NUMBERS; RESOLUTIONS; MODULES;

D O I：

10.4171/JEMS/212

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We show that the cohomology table of any coherent sheaf on projective space is a convergent-but possibly infinite-sum of positive real multiples of the cohomology tables of what we call supernatural sheaves.

引用

页码：703 / 722

页数：20

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