DEGENERATIONS OF CALABI-YAU METRICS

被引：14
|
作者：
Tosatti, Valentino [1 ]
机构：
[1] Columbia Univ, Dept Math, New York, NY 10027 USA
来源：
GEOMETRY AND PHYSICS IN CRACOW | 2011年 / 4卷 / 03期
基金：
美国国家科学基金会;
关键词：
RICCI CURVATURE; K3; SURFACES; KAHLER; LIMITS; CONJECTURE;
D O I：
10.5506/APhysPolBSupp.4.495
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We survey our recent work on degenerations of Ricci-flat Kahler metrics on compact Calabi-Yau manifolds with Kahler classes approaching the boundary of the Kahler cone.
引用
收藏
页码：495 / 505
页数：11
相关论文
共 50 条
  • [41] No semistability at infinity for Calabi-Yau metrics asymptotic to cones
    Sun, Song
    Zhang, Junsheng
    [J]. INVENTIONES MATHEMATICAE, 2023, 233 (01) : 461 - 494
  • [42] Calabi-Yau metrics on canonical bundles of complex flag manifolds
    Correa, Eder M.
    Grama, Lino
    [J]. JOURNAL OF ALGEBRA, 2019, 527 : 109 - 135
  • [43] CALABI-YAU COALGEBRAS
    He, J-W
    Torrecillas, B.
    Van Oystaeyen, F.
    Zhang, Y.
    [J]. COMMUNICATIONS IN ALGEBRA, 2011, 39 (12) : 4644 - 4661
  • [44] Higher-order estimates for collapsing Calabi-Yau metrics
    Hein, Hans-Joachim
    Tosatti, Valentino
    [J]. CAMBRIDGE JOURNAL OF MATHEMATICS, 2020, 8 (04) : 683 - 773
  • [45] Generalized Hodge metrics and BCOV torsion on Calabi-Yau moduli
    Fang, H
    Lu, ZQ
    [J]. JOURNAL FUR DIE REINE UND ANGEWANDTE MATHEMATIK, 2005, 588 : 49 - 69
  • [46] CALABI-YAU METRICS WITH CONICAL SINGULARITIES ALONG LINE ARRANGEMENTS
    De Borbon, Martin
    Spotti, Cristiano
    [J]. JOURNAL OF DIFFERENTIAL GEOMETRY, 2023, 123 (02) : 195 - 239
  • [47] Limits of Calabi-Yau metrics when the Kahler class degenerates
    Tosatti, Valentino
    [J]. JOURNAL OF THE EUROPEAN MATHEMATICAL SOCIETY, 2009, 11 (04) : 755 - 776
  • [48] On non-Kahler Calabi-Yau Threefolds with Balanced Metrics
    Fu, Jixiang
    [J]. PROCEEDINGS OF THE INTERNATIONAL CONGRESS OF MATHEMATICIANS, VOL II: INVITED LECTURES, 2010, : 705 - 716
  • [49] On the incompleteness of the Weil-Petersson metric along degenerations of Calabi-Yau manifolds
    Wang, CL
    [J]. MATHEMATICAL RESEARCH LETTERS, 1997, 4 (01) : 157 - 171
  • [50] On Calabi-Yau supermanifolds
    Rocek, Martin
    Wadhwa, Neal
    [J]. ADVANCES IN THEORETICAL AND MATHEMATICAL PHYSICS, 2005, 9 (02) : 315 - 320
12345