REMARKS ON DOLBEAULT COHOMOLOGY OF OELJEKLAUS-TOMA MANIFOLDS AND HODGE THEORY

被引：3
|
作者：
Kasuya, Hisashi [1 ]
机构：
[1] Osaka Univ, Grad Sch Sci, Dept Math, Osaka, Japan
来源：
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 2021年 / 149卷 / 07期
关键词：
Oeljeklaus-Toma manifolds; solvmanifolds; Hodge theory on non-Kahler manifolds; BOTT-CHERN COHOMOLOGY; SOLVMANIFOLDS; RHAM; FORMALITY;
D O I：
10.1090/proc/15436
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We give explicit harmonic representatives of Dolbeault cohomology of Oeljeklaus-Toma manifolds and show that they are geometrically Dolbeault formal. We also give explicit harmonic representatives of Bott-Chern cohomology of Oeljeklaus-Toma manifolds of type (s, 1) and study the AngellaTomassini inequality.
引用
收藏
页码：3129 / 3137
页数：9
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