ON THE BIRATIONAL GEOMETRY OF SCHUBERT VARIETIES

被引：0
|
作者：
Schmidt, Benjamin [1 ]
机构：
[1] Ohio State Univ, Dept Math, Columbus, OH 43210 USA
来源：
BULLETIN DE LA SOCIETE MATHEMATIQUE DE FRANCE | 2015年 / 143卷 / 03期
关键词：
Schubert varieties; birational geometry; small resolutions; SMALL RESOLUTIONS; SPACES;
D O I：
10.24033/bsmf.2696
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We classify all Q-factorializations of (co)minuscule Schubert varieties by using their Mori dream space structure. As a corollary we obtain a description of all IH-small resolutions of (co)minuscule Schubert varieties generalizing results of Perrin. We improve his results by including algebraically closed fields of positive characteristic and cominuscule Schubert varieties. Moreover, the use of Q-factorializations and Mori dream spaces simplifies the arguments substantially.
引用
收藏
页码：489 / 502
页数：14
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