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
相关论文
共 50 条
  • [21] BLOW-UPS AND MIXED MOTIVES
    Hanamura, Masaki
    TOHOKU MATHEMATICAL JOURNAL, 2011, 63 (04) : 751 - 774
  • [22] The quantum cohomology of blow-ups of P2 and enumerative geometry
    Gottsche, L
    Pandharipande, R
    JOURNAL OF DIFFERENTIAL GEOMETRY, 1998, 48 (01) : 61 - 90
  • [23] Extremal Graphs for Blow-Ups of Keyrings
    Ni, Zhenyu
    Kang, Liying
    Shan, Erfang
    Zhu, Hui
    GRAPHS AND COMBINATORICS, 2020, 36 (06) : 1827 - 1853
  • [24] Two inequalities for a sequence of blow-ups
    A. V. Pukhlikov
    Mathematical Notes, 2015, 97 : 970 - 973
  • [25] b-STABILITY AND BLOW-UPS
    Donaldson, S. K.
    PROCEEDINGS OF THE EDINBURGH MATHEMATICAL SOCIETY, 2014, 57 (01) : 125 - 137
  • [26] Spacetime singularities and curvature blow-ups
    Racz, Istvan
    GENERAL RELATIVITY AND GRAVITATION, 2023, 55 (01)
  • [27] Tiling transitive tournaments and their blow-ups
    Yuster, R
    ORDER-A JOURNAL ON THE THEORY OF ORDERED SETS AND ITS APPLICATIONS, 2003, 20 (02): : 121 - 133
  • [28] Spacetime singularities and curvature blow-ups
    István Rácz
    General Relativity and Gravitation, 2023, 55
  • [29] Extremal Graphs for Blow-Ups of Keyrings
    Zhenyu Ni
    Liying Kang
    Erfang Shan
    Hui Zhu
    Graphs and Combinatorics, 2020, 36 : 1827 - 1853
  • [30] ON THE FINITE GENERATION OF SYMBOLIC BLOW-UPS
    HUNEKE, C
    MATHEMATISCHE ZEITSCHRIFT, 1982, 179 (04) : 465 - 472
12345