Examples of Non-finitely Generated Cox Rings

被引：2

作者：

Gonzalez, Jose Luis ^{[1
]}

Karu, Kalle ^{[2
]}

机构：

[1] Univ Calif Riverside, Dept Math, Riverside, CA 92521 USA

[2] Univ British Columbia, Dept Math, Vancouver, BC V6T 1Z2, Canada

来源：

CANADIAN MATHEMATICAL BULLETIN-BULLETIN CANADIEN DE MATHEMATIQUES | 2019年 / 62卷 / 02期

基金：

加拿大自然科学与工程研究理事会;

关键词：

Cox ring; Mori dream space; toric variety; MORI DREAM SPACES;

D O I：

10.4153/CMB-2018-029-6

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We bring examples of toric varieties blown up at a point in the torus that do not have finitely generated Cox rings. These examples are generalizations of our earlier work, where toric surfaces of Picard number 1 were studied. In this article we consider toric varieties of higher Picard number and higher dimension. In particular, we bring examples of weighted projective 3-spaces blown up at a point that do not have finitely generated Cox rings.

引用

页码：267 / 285

页数：19

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