Some non-pseudoconvex domains with explicitly computable non-Hausdorff Dolbeault cohomology

2015/01/16 by Chakrabarti, Debraj
#Complex Variables (math.CV) #FOS: Mathematics

paper · doi:10.48550/arxiv.1501.04130

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.

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