On normality of cones over symmetric varieties

被引：7
|
作者：
Chirivi, Rocco
de Concini, Corrado
Maffei, Andrea
机构：
[1] Univ Pisa, Dipartimento Matemat Leonida Tonelli, I-56127 Pisa, Italy
[2] Univ Roma La Sapienza, Dipartimento Matemat Guido Castelnuovo, I-00185 Rome, Italy
来源：
TOHOKU MATHEMATICAL JOURNAL | 2006年 / 58卷 / 04期
关键词：
complete symmetric variety; projective normality;
D O I：
10.2748/tmj/1170347692
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Let G be a simply connected semisimple algebraic group and let K be the subgroup of points fixed by an involution of G. For certain representations containing a line r preserved by K, we study the normality of the closure of the set of vectors which are G conjugate to a vector in r. Some applications of our result to the normality of certain classical varieties are given.
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页码：599 / 616
页数：18
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