Birational geometry of hypersurfaces in products of projective spaces

被引：18

作者：

Ottem, John Christian ^{[1
]}

机构：

[1] Univ Cambridge, Dept Pure Math & Math Stat, Cambridge CB3 0WB, England

来源：

MATHEMATISCHE ZEITSCHRIFT | 2015年 / 280卷 / 1-2期

关键词：

MORI DREAM SPACES; COX RINGS;

D O I：

10.1007/s00209-015-1415-x

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We study the birational properties of hypersurfaces in products of projective spaces. In the case of hypersurfaces in , we describe their nef, movable and effective cones and determine when they are Mori dream spaces. Using this, we give new simple examples of non-Mori dream spaces and analogues of Mumford's example of a strictly nef line bundle which is not ample.

引用

页码：135 / 148

页数：14

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