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.

引用

页码：1456 / 1465

页数：10

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