Cohomology of line bundles on Schubert varieties-I

被引：0
作者：
Balaji V. [1 ]
Kannan S.S. [1 ]
Subrahmanyam K.V. [1 ]
机构：
[1] Chennai Mathematical Institute, Chennai-600017, 92, G. N. Chetty Road
来源：
Transformation Groups | 2004年 / 9卷 / 2期
关键词：
Line Bundle; Schubert Variety; Combinatorial Dictionary;
D O I：
10.1007/s00031-004-7007-1
中图分类号：
学科分类号：
摘要：
The aim of this paper is to begin a study of the cohomology modules H i (X (w), ℒλ) for non-dominant weights λ on Schubert varieties X(w) in G/B. The aim is to set up a combinatorial dictionary for describing the cohomology modules and give criteria for their vanishing. Here ℒλ denotes the line bundle on X(w) corresponding to the 1-dimensional representation of B given by the character λ.
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页码：105 / 131
页数：26
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