Fano varieties with many selfmaps

被引：24

作者：

Cheltsov, Ivan ^{[1
]}

机构：

[1] Univ Edinburgh, Sch Math, Edinburgh EH9 3JZ, Midlothian, Scotland

来源：

ADVANCES IN MATHEMATICS | 2008年 / 217卷 / 01期

基金：

英国工程与自然科学研究理事会;

关键词：

Fano threefold; log canonical threshold; weighted hypersurface; Kahler-Einstein metric; birational automorphism; non-rationality;

D O I：

10.1016/j.aim.2007.06.010

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We study global log canonical thresholds of anticanonically embedded quasismooth weighted Fano threefold hypersurfaces having terminal quotient singularities to prove the existence of a Kahler-Einstein metric on most of them, and to produce examples of Fano varieties with infinite discrete groups of birational automorphisms. (c) 2007 Elsevier Inc. All rights reserved.

引用

页码：97 / 124

页数：28

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