Calabi-Yau manifolds and their degenerations

被引：13
|
作者：
Tosatti, Valentino [1 ]
机构：
[1] Columbia Univ, Dept Math, New York, NY 10027 USA
来源：
BLAVATNIK AWARDS FOR YOUNG SCIENTISTS 2011 | 2012年 / 1260卷
基金：
美国国家科学基金会;
关键词：
Calabi-Yau manifolds; Kahler metrics; Ricci curvature; degenerations of manifolds; RICCI CURVATURE; K3; SURFACES; KAHLER; LIMITS; MODULI;
D O I：
10.1111/j.1749-6632.2011.06259.x
中图分类号：
O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];
学科分类号：
07 ; 0710 ; 09 ;
摘要：
Calabi-Yau manifolds are geometric objects of central importance in several branches of mathematics, including differential geometry, algebraic geometry, and mathematical physics. In this paper, we give a brief introduction to the subject aimed at a general mathematical audience and present some of our results that shed some light on the possible ways in which families of Calabi-Yau manifolds can degenerate.
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页码：8 / 13
页数：6
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