Boundedness of canonical Q-Fano 3-folds

被引：45

作者：

Kollár, J

Miyaoka, Y

Mori, S

Takagi, H

机构：

[1] Princeton Univ, Dept Math, Princeton, NJ 08544 USA

[2] Kyoto Univ, Math Sci Res Inst, Kyoto 6068502, Japan

来源：

PROCEEDINGS OF THE JAPAN ACADEMY SERIES A-MATHEMATICAL SCIENCES | 2000年 / 76卷 / 05期

关键词：

Q-Fano variety; terminal singularity; canonical singularity;

D O I：

10.3792/pjaa.76.73

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We give an effective bound of the Gorenstein index of weak Q-Fano 3-folds, and prove the boundedness of the terminal Q-Fano 3-folds. Combined with [Bor99], this result implies furthermore the boundedness of the canonical Q-Fano 3-folds.

引用

页码：73 / 77

页数：5

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