Dolbeault cohomology of nilmanifolds with left-invariant complex structure
Differential Geometry
2010-06-23 v1 Complex Variables
Abstract
We discuss the known evidence for the conjecture that the Dolbeault cohomology of nilmanifolds with left-invariant complex structure can be computed as Lie-algebra cohomology and also mention some applications.
Cite
@article{arxiv.1006.4224,
title = {Dolbeault cohomology of nilmanifolds with left-invariant complex structure},
author = {Sönke Rollenske},
journal= {arXiv preprint arXiv:1006.4224},
year = {2010}
}
Comments
17 pages, to appear in the Proceedings of the Hannover conference on "Complex and Differential Geometry" 14-18 September 2009