On the approximation of Kähler manifolds by algebraic varieties

被引：0
作者：
Junyan Cao
机构：
[1] Université de Grenoble I,
[2] Institut Fourier,undefined
来源：
Mathematische Annalen | 2015年 / 363卷
关键词：
14D06; 14E30; 14J40; 32J25; 32J27; 32L20;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
It has been shown by Claire Voisin in 2003 that one cannot always deform a compact Kähler manifold into a projective algebraic manifold, thereby answering negatively a question raised by Kodaira. In this article, we prove that under an additional semipositivity or seminegativity condition on the canonical bundle, the answer becomes positive, namely such a compact Kähler manifold can be approximated by deformations of projective manifolds.
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页码：393 / 422
页数：29
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