Cohomology of line bundles on horospherical varieties

被引：0
作者：
Bonala, Narasimha Chary [1 ,2 ]
Dejoncheere, Benoit [3 ]
机构：
[1] Max Planck Inst Math, Vivatsgasse 7, Bonn, Germany
[2] Ruhr Univ Bochum, Fak Math, Bochum, Germany
[3] Univ Alberta, Dept Math & Stat Sci, Edmonton, AB T6G 2G1, Canada
来源：
MATHEMATISCHE ZEITSCHRIFT | 2020年 / 296卷 / 1-2期
关键词：
Grothendieck-Cousin complexes; Horospherical varieties; Local cohomology;
D O I：
10.1007/s00209-019-02454-y
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
A horospherical variety is a normal algebraic variety where a connected reductive algebraic group acts with an open orbit isomorphic to a torus bundle over a flag variety. In this article we study the cohomology of line bundles on complete horospherical varieties. The main tool in this article is the machinery of Grothendieck-Cousin complexes, and we also prove a Kunneth-like formula for local cohomology.
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页码：525 / 540
页数：16
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