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arXiv · 1212.4351

The cohomologies of the Iwasawa manifold and of its small deformations

Daniele Angella
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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 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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Daniele Angella. 2012-12-18. The cohomologies of the Iwasawa manifold and of its small deformations. https://doi.org/10.1007/s12220-011-9291-z

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