Vanishing theorem for the cohomology of line bundles on Bott-Samelson varieties

被引：11

作者：

Pasquier, Boris ^{[1
]}

机构：

[1] Univ Montpellier 2, F-34095 Montpellier 5, France

来源：

JOURNAL OF ALGEBRA | 2010年 / 323卷 / 10期

关键词：

Bott-Samelson varieties; Schubert varieties; Toric varieties; Vanishing theorems; Line bundles; SCHUBERT VARIETIES; TOWERS;

D O I：

10.1016/j.jalgebra.2010.03.016

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We use the Grossberg-Karshon's degeneration of Bott-Samelson varieties to toric varieties and the description of cohomology of line bundles on toric varieties to deduce vanishing results for the cohomology of lines bundles on Bott-Samelson varieties. (C) 2010 Elsevier Inc. All rights reserved.

引用

页码：2834 / 2847

页数：14

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