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arXiv · 1407.3928

Hodge theory for twisted differentials

Daniele Angella·Hisashi Kasuya
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Abstract

We study cohomologies and Hodge theory for complex manifolds with twisted differentials. In particular, we get another cohomological obstruction for manifolds in class $\mathcal{C}$ of Fujiki. We give a Hodge-theoretical proof of the characterization of solvmanifolds in class $\mathcal{C}$ of Fujiki, first proven by D. Arapura.

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Daniele Angella, Hisashi Kasuya. 2014-07-15. Hodge theory for twisted differentials. https://doi.org/10.2478/coma-2014-0005

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