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
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.