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Cohomologies of deformations of solvmanifolds and closedness of some properties

Angella, Daniele and Kasuya, Hisashi (2013) Cohomologies of deformations of solvmanifolds and closedness of some properties. arXiv . (Submitted)

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    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
    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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