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

共 34 条

[1]

Aeppli A., 1965, PROCEEDING C COMPLEX, P58

[2]

Angella D., J NONCOMMUT IN PRESS

[3]

Angella D., ARXIV12125708V3MATHD

[4] Cohomologies of certain orbifolds [J].

Angella, Daniele .

JOURNAL OF GEOMETRY AND PHYSICS, 2013, 71 :117-126

[5] The Cohomologies of the Iwasawa Manifold and of Its Small Deformations [J].

Angella, Daniele .

JOURNAL OF GEOMETRIC ANALYSIS, 2013, 23 (03) :1355-1378

[6]

Angella D, 2013, INVENT MATH, V192, P71, DOI 10.1007/s00222-012-0406-3

[7]

Arapura D, 2004, INT MATH RES NOTICES, V2004, P131

[8] THE DECOMPOSITION THEOREM FOR V-MANIFOLDS [J].

BAILY, WL .

AMERICAN JOURNAL OF MATHEMATICS, 1956, 78 (04) :862-888

[9] ON THE QUOTIENT OF AN ANALYTIC MANIFOLD BY A GROUP OF ANALYTIC HOMEOMORPHISMS [J].

BAILY, WL .

PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA, 1954, 40 (09) :804-808

[10] On the metric structure of non-Kahler complex surfaces [J].

Belgun, FA .

MATHEMATISCHE ANNALEN, 2000, 317 (01) :1-40

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