Some non-pseudoconvex domains with explicitly computable non-Hausdorff Dolbeault cohomology
Complex Variables
2015-01-20 v1
Abstract
We explicitly compute the Dolbeault cohomologies of certain domains in complex space generalizing the classical Hartogs figure. The cohomology groups are non-Hausdorff topological vector spaces, and it is possible to identify the reduced (Hausdorff) and the indiscrete part of the cohomology.
Keywords
Cite
@article{arxiv.1501.04130,
title = {Some non-pseudoconvex domains with explicitly computable non-Hausdorff Dolbeault cohomology},
author = {Debraj Chakrabarti},
journal= {arXiv preprint arXiv:1501.04130},
year = {2015}
}