EXTREMAL KAHLER METRICS ON BLOW-UPS OF PARABOLIC RULED SURFACES

被引：4
|
作者：
Tipler, Carl [1 ]
机构：
[1] Lab Jean Leray LMJL, Nantes, France
来源：
BULLETIN DE LA SOCIETE MATHEMATIQUE DE FRANCE | 2013年 / 141卷 / 03期
关键词：
Extremal Kahler metrics; Hirzebruch-Jung singularities; resolution; iterated blow-ups; parabolic structures; CONSTANT SCALAR CURVATURE; EINSTEIN-METRICS; K-STABILITY; MANIFOLDS; ORBIFOLDS; BUNDLES;
D O I：
10.24033/bsmf.2654
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
New examples of extremal Kah ler metrics are given on blow-ups of parabolic ruled surfaces. The method used is based on the gluing construction of Arezzo, Pacard and Singer [5]. This enables to endow ruled surfaces of the form P(O circle plus L) with special parabolic structures such that the associated iterated blow-up admits an extremal metric of non-constant scalar curvature.
引用
收藏
页码：481 / 516
页数：36
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