An approach of the minimal model program for horospherical varieties via moment polytopes

被引：6

作者：

Pasquier, Boris ^{[1
]}

机构：

[1] Univ Montpellier 2, F-34095 Montpellier, France

来源：

JOURNAL FUR DIE REINE UND ANGEWANDTE MATHEMATIK | 2015年 / 708卷

关键词：

D O I：

10.1515/crelle-2013-0103

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We describe the minimal model program in the family of Q-Gorenstein projective horospherical varieties, by studying a family of polytopes defined from the moment polytope of a Cartier divisor of the variety we begin with. In particular, we generalize the results on MMP for toric varieties due to M. Reid, and we complete the results on MMP for spherical varieties due to M. Brion in the case of horospherical varieties.

引用

页码：173 / 212

页数：40

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