Extremal metrics and K-stability

被引：74

作者：

Szekelyhidi, Gabor ^{[1
]}

机构：

[1] Univ London Imperial Coll Sci Technol & Med, Dept Math, London SW7 2AZ, England

来源：

BULLETIN OF THE LONDON MATHEMATICAL SOCIETY | 2007年 / 39卷

基金：

英国工程与自然科学研究理事会;

关键词：

D O I：

10.1112/blms/bdl015

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We propose an algebraic geometric stability criterion for a polarised variety to admit an extremal Kahler metric. This generalises conjectures by Yau, Tian and Donaldson, which relate to the case of Kahler-Einstein and constant scalar curvature metrics. We give a result in geometric invariant theory that motivates this conjecture, and an example computation that supports it.

引用

页码：76 / 84

页数：9

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