The minimality of determinantal varieties

被引：2
|
作者：
Bordemann, Martin [1 ]
Choe, Jaigyoung [2 ]
Hoppe, Jens [3 ]
机构：
[1] Univ Haute Alsace, Mulhouse, France
[2] Korea Inst Adv Study, Seoul 02455, South Korea
[3] Braunschweig Univ, Braunschweig, Germany
来源：
JOURNAL FUR DIE REINE UND ANGEWANDTE MATHEMATIK | 2021年 / 773卷
关键词：
D O I：
10.1515/crelle-2020-0041
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The determinantal variety Sigma(pq) is defined to be the set of all p x q real matrices with p >= q whose ranks are strictly smaller than q. It is proved that Sigma(pq) is a minimal cone in R-pq and all its strata are regular minimal submanifolds.
引用
收藏
页码：153 / 164
页数：12
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