Hodge theory for twisted differentials

被引：8

作者：

Angella, Daniele ^{[2
]}

Kasuya, Hisashi ^{[1
]}

机构：

[1] Tokyo Inst Technol, Dept Math, Meguro Ku, 12-1-H-7 O Okayama, Tokyo 1528551, Japan

[2] Univ Parma, Ist Nazl Alta Matemat, I-43124 Parma, Italy

来源：

COMPLEX MANIFOLDS | 2014年 / 1卷 / 01期

关键词：

twisted differential; local system; Dolbeault cohomology; Bott-Chern cohomology; Hodge decomposition; solvmanifolds; class C of Fujiki;

D O I：

10.2478/coma-2014-0005

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We study cohomologies and Hodge theory for complex manifolds with twisted differentials. In particular, we get another cohomological obstruction for manifolds in class C of Fujiki. We give a Hodge-theoretical proof of the characterization of solvmanifolds in class C of Fujiki, first stated by D. Arapura.

引用

页码：64 / 85

页数：22