# Hodge theory for twisted differentials

Daniele Angella; Hisashi Kasuya

Complex Manifolds (2014)

- Volume: 1, Issue: 1, page 64-85, electronic only
- ISSN: 2300-7443

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topDaniele Angella, and Hisashi Kasuya. "Hodge theory for twisted differentials." Complex Manifolds 1.1 (2014): 64-85, electronic only. <http://eudml.org/doc/276960>.

@article{DanieleAngella2014,

abstract = {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 Hodgetheoretical proof of the characterization of solvmanifolds in class C of Fujiki, first stated by D. Arapura.},

author = {Daniele Angella, Hisashi Kasuya},

journal = {Complex Manifolds},

keywords = {twisted differential; local system; Dolbeault cohomology; Bott-Chern cohomology; Hodge decomposition; solvmanifolds; class C of Fujiki; complex manifolds with twisted differentials; Hodge theory; manifolds of class of Fujiki},

language = {eng},

number = {1},

pages = {64-85, electronic only},

title = {Hodge theory for twisted differentials},

url = {http://eudml.org/doc/276960},

volume = {1},

year = {2014},

}

TY - JOUR

AU - Daniele Angella

AU - Hisashi Kasuya

TI - Hodge theory for twisted differentials

JO - Complex Manifolds

PY - 2014

VL - 1

IS - 1

SP - 64

EP - 85, electronic only

AB - 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 Hodgetheoretical proof of the characterization of solvmanifolds in class C of Fujiki, first stated by D. Arapura.

LA - eng

KW - twisted differential; local system; Dolbeault cohomology; Bott-Chern cohomology; Hodge decomposition; solvmanifolds; class C of Fujiki; complex manifolds with twisted differentials; Hodge theory; manifolds of class of Fujiki

UR - http://eudml.org/doc/276960

ER -

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