Cone theorem via Deligne-Mumford stacks

被引：2

作者：

Chen, Jiun-Cheng ^{[1
,2
]}

Tseng, Hsian-Hua ^{[3
]}

机构：

[1] Natl Tsing Hua Univ, Dept Math, Div Math, Hsinchu 30043, Taiwan

[2] Natl Tsing Hua Univ, Natl Ctr Theoret Sci, Hsinchu 30043, Taiwan

[3] Univ Wisconsin, Dept Math, Madison, WI 53706 USA

来源：

MATHEMATISCHE ANNALEN | 2009年 / 345卷 / 03期

关键词：

INTERSECTION THEORY; ALGEBRAIC STACKS; VARIETIES; BUNDLES;

D O I：

10.1007/s00208-009-0363-3

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We prove the cone theorem for varieties with LCIQ singularities using deformation theory of stable maps into Deligne-Mumford stacks. We also obtain a sharper bound on -(K(X) + D)- degree of (K(X) + D)- negative extremal rays for projective Q-factorial log terminal threefold pairs (X, D).

引用

页码：525 / 545

页数：21

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