PROJECTIVIZED RANK TWO TORIC VECTOR BUNDLES ARE MORI DREAM SPACES

被引：5
|
作者：
Gonzalez, Jose Luis [1 ]
机构：
[1] Univ Michigan, Dept Math, Ann Arbor, MI 48109 USA
来源：
COMMUNICATIONS IN ALGEBRA | 2012年 / 40卷 / 04期
关键词：
Cox rings; Klyachko filtrations; Mori dream spaces; Toric varieties; Toric vector bundles; COX RING; VARIETIES;
D O I：
10.1080/00927872.2011.551900
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We prove that the Cox ring of the projectivization P(E) of a rank two toric vector bundle E, over a toric variety X, is a finitely generated k-algebra. As a consequence, P(E) is a Mori dream space if the toric variety X is projective and simplicial.
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页码：1456 / 1465
页数：10
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