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.
Hodge theory for twisted differentials / Angella, Daniele; Kasuya, Hisashi. - In: COMPLEX MANIFOLDS. - ISSN 2300-7443. - ELETTRONICO. - 1:(2014), pp. 64-85. [10.2478/coma-2014-0005]
Hodge theory for twisted differentials
ANGELLA, DANIELE;Kasuya, Hisashi
2014
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.
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