Angella, Daniele and Kasuya, Hisashi (2013) Cohomologies of deformations of solvmanifolds and closedness of some properties. arXiv . (Submitted)
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Official URL: http://arxiv.org/abs/1305.6709v1
Abstract
We provide further techniques to study the Dolbeault and Bott-Chern cohomologies of deformations of solvmanifolds by means of finite-dimensional complexes. By these techniques, we can compute the Dolbeault and Bott-Chern cohomologies of some complex solvmanifolds, and we also get explicit examples, showing in particular that either the $\partial\bar{\partial}$-Lemma or the property that the Hodge and Fr\"olicher spectral sequence degenerates at the first level are not closed under deformations.
Item Type: | Article |
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Additional Information: | Imported from arXiv |
Uncontrolled Keywords: | Imported from arXiv |
Subjects: | Area01 - Scienze matematiche e informatiche > MAT/03 - Geometria |
Divisions: | Dipartimenti (from 2013) > DIPARTIMENTO DI MATEMATICA |
Depositing User: | Dott. Daniele Angella |
Date Deposited: | 08 Oct 2013 16:06 |
Last Modified: | 08 Oct 2013 16:06 |
URI: | http://eprints.adm.unipi.it/id/eprint/1616 |
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