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.
@article{bwmeta1.element.doi-10_2478_coma-2014-0005,
author = {Daniele Angella and Hisashi Kasuya},
title = {Hodge theory for twisted differentials},
journal = {Complex Manifolds},
volume = {1},
year = {2014},
zbl = {1320.32027},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.doi-10_2478_coma-2014-0005}
}
Daniele Angella; Hisashi Kasuya. Hodge theory for twisted differentials. Complex Manifolds, Tome 1 (2014) . http://gdmltest.u-ga.fr/item/bwmeta1.element.doi-10_2478_coma-2014-0005/
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