Deformation of the product of complex Fano manifolds

被引：4
|
作者：
Li, Qifeng [1 ]
机构：
[1] Korea Inst Adv Study, Seoul, South Korea
来源：
COMPTES RENDUS MATHEMATIQUE | 2018年 / 356卷 / 05期
基金：
新加坡国家研究基金会;
关键词：
RIGIDITY;
D O I：
10.1016/j.crma.2018.04.007
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Let X be a connected family of complex Fano manifolds. We show that if some fiber is the product of two manifolds of lower dimensions, then so is every fiber. Combining with previous work of Hwang and Mok, this implies immediately that if a fiber is a (possibly reducible) Hermitian symmetric space of compact type, then all fibers are isomorphic to the same variety. (C) 2018 Academie des sciences. Published by Elsevier Masson SAS. All rights reserved.
引用
收藏
页码：538 / 541
页数：4
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