The minimal degeneration singularities in the affine Grassmannians

被引：17
|
作者：
Malkin, A
Ostrik, V
Vybornov, M
机构：
[1] Univ Illinois, Dept Math, Urbana, IL 61801 USA
[2] Univ Oregon, Dept Math, Eugene, OR 97403 USA
[3] Boston Univ, Dept Math & Stat, Boston, MA 02215 USA
来源：
DUKE MATHEMATICAL JOURNAL | 2005年 / 126卷 / 02期
基金：
美国国家科学基金会;
关键词：
D O I：
10.1215/S0012-7094-04-12622-3
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The minimal degeneration singularities in the affine Grassmannians of simple simply laced algebraic groups are determined to be either Kleinian singularities of type A or closures of minimal nilpotent orbits. The singularities for non-simply laced types are studied by intersection cohomology and equivariant Chow group methods.
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页码：233 / 249
页数：17
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