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The Cohomologies of the Iwasawa Manifold and of Its Small Deformations

Angella, Daniele (2013) The Cohomologies of the Iwasawa Manifold and of Its Small Deformations. Journal of Geometric Analysis, 23 (3). pp. 1355-1378. ISSN 1050-6926

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      Abstract

      We prove that, for some classes of complex nilmanifolds, the Bott–Chern cohomology is completely determined by the Lie algebra associated with the nilmanifold with the induced complex structure. We use these tools to compute the Bott–Chern and Aeppli cohomologies of the Iwasawa manifold and of its small deformations, completing the computations by M. Schweitzer (arXiv:0709.3528v1 [math.AG]).

      Item Type: Article
      Subjects: Area01 - Scienze matematiche e informatiche > MAT/03 - Geometria
      Divisions: Dipartimenti (until 2012) > DIPARTIMENTO DI MATEMATICA "L. TONELLI"
      Depositing User: Dott. Daniele Angella
      Date Deposited: 08 Oct 2013 20:28
      Last Modified: 08 Oct 2013 20:28
      URI: http://eprints.adm.unipi.it/id/eprint/1608

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