THE DIFFERENTIAL GEOMETRY OF BLOW-UPS

被引：1
|
作者：
Bykov, D. V. [1 ]
机构：
[1] Russian Acad Sci, Steklov Math Inst, Moscow, Russia
来源：
THEORETICAL AND MATHEMATICAL PHYSICS | 2015年 / 185卷 / 02期
基金：
俄罗斯科学基金会;
关键词：
blow-up; adjunction formula; Kahler-Einstein metric; RIEMANNIAN GEOMETRY; SPECTRAL ASYMMETRY; INSTANTONS;
D O I：
10.1007/s11232-015-0369-9
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
We discuss the local geometry in the vicinity of a sphere CP1 embedded with a negative normal bundle. We show that the behavior of the Kahler potential near a sphere embedded with a given normal bundle can be determined using the adjunction formula. As a by-product, we construct (asymptotically locally complex-hyperbolic) Kahler-Einstein metrics on the total spaces of the line bundles O(-m), m >= 3, over CP1.
引用
收藏
页码：1636 / 1648
页数：13
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