The differential geometry of blow-ups

被引：0
|
作者：
D. V. Bykov
机构：
[1] Steklov Mathematical Institute of the Russian Academy of Sciences,
来源：
Theoretical and Mathematical Physics | 2015年 / 185卷
关键词：
blow-up; adjunction formula; Kähler–Einstein metric;
D O I：
暂无
中图分类号：
学科分类号：
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 Kähler 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) Kähler–Einstein metrics on the total spaces of the line bundles O(−m), m ≥ 3, over CP1.
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页码：1636 / 1648
页数：12
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