EXTREMAL METRICS ON BLOWUPS

被引：35

作者：

Arezzo, Claudio ^{[1
]}

Pacard, Frank ^{[2
,3
]}

Singer, Michael ^{[4
,5
]}

机构：

[1] Int Ctr Theoret Phys, I-34151 Trieste, Italy

[2] Ecole Polytech, Ctr Math Laurent Schwartz, F-91128 Palaiseau, France

[3] Ecole Polytech, Inst Univ France, F-91128 Palaiseau, France

[4] Univ Edinburgh, Edinburgh, Midlothian, Scotland

[5] Maxwell Inst, Edinburgh, Midlothian, Scotland

来源：

DUKE MATHEMATICAL JOURNAL | 2011年 / 157卷 / 01期

关键词：

CONSTANT SCALAR CURVATURE; KAHLER-EINSTEIN METRICS; TORIC SURFACES; BLOWING-UP; MANIFOLDS; STABILITY;

D O I：

10.1215/00127094-2011-001

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper we provide conditions that are sufficient to guarantee the existence of extremal metrics on blowups at finitely many points of Kahler manifolds which already carry an extremal metric. As a particular case, we construct extremal metrics on P-2 blown-up k points in general position, with k < m + 2.

引用

页码：1 / 51

页数：51

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