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;
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.
Settore MAT/03 - Geometria
Bott-Chern cohomology; Class C of Fujiki; Dolbeault cohomology; Hodge decomposition; Local system; Solvmanifolds; Twisted differential;
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/11384/58313
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