Unitary grassmannians

被引：16
|
作者：
Karpenko, Nikita A. [1 ]
机构：
[1] Univ Paris 06, Inst Math Jussieu, Paris, France
来源：
JOURNAL OF PURE AND APPLIED ALGEBRA | 2012年 / 216卷 / 12期
关键词：
INVARIANT; MOTIVES;
D O I：
10.1016/j.jpaa.2012.03.024
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We study projective homogeneous varieties under an action of a projective unitary group (of outer type). We are especially interested in the case of (unitary) grassmannians of totally isotropic subspaces of a hermitian form over a field, the main result saying that these grassmannians are 2-incompressible if the hermitian form is generic. Applications to orthogonal grassmannians are provided. (C) 2012 Elsevier B.V. All rights reserved.
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页码：2586 / 2600
页数：15
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