An optimal boundedness on weak Q-Fano 3-folds

被引：14

作者：

Chen, Jungkai A. ^{[2
]}

Chen, Meng ^{[1
]}

机构：

[1] Fudan Univ, Inst Math, Shanghai 200433, Peoples R China

[2] Natl Taiwan Univ, Dept Math, Taipei 106, Taiwan

来源：

ADVANCES IN MATHEMATICS | 2008年 / 219卷 / 06期

关键词：

Anti-plurigenus; Anti-canonical volume;

D O I：

10.1016/j.aim.2008.08.002

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let X be a terminal weak Q-Fano 3-fold. We prove that P-6(X) > 0 and P-8(X) > 1. We also prove that the anti-canonical volume has the universal lower bound -K-X(3) >= 1/330. This lower bound is optimal. (C) 2008 Elsevier Inc. All rights reserved.

引用

页码：2086 / 2104

页数：19

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