Geometria Complessa e Geometria Differenziale
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D. Angella

The cohomologies of the Iwasawa manifold and of its small deformations

created by daniele on 08 Nov 2016
modified on 17 Nov 2017

[BibTeX]

Published Paper

Inserted: 8 nov 2016
Last Updated: 17 nov 2017

Journal: J. Geom. Anal.
Volume: 23
Number: 3
Pages: 1355-1378
Year: 2013
Doi: 10.1007/s12220-011-9291-z

ArXiv: 1212.4351 PDF
Links: arXiv:1212.4351

Abstract:

We prove that, for some classes of complex nilmanifolds, the Bott-Chern cohomology is completely determined by the Lie algebra associated to 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 in arXiv:0709.3528v1 math.AG by M. Schweitzer.

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