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Displaying similar documents to “On the Hodge spectral sequence for some classes of non-complete algebraic manifolds.”

Hodge theory for twisted differentials

Daniele Angella, Hisashi Kasuya (2014)

Complex Manifolds

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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.