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arXiv · 1501.04130

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

Debraj Chakrabarti
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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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Debraj Chakrabarti. 2015-01-16. Some non-pseudoconvex domains with explicitly computable non-Hausdorff Dolbeault cohomology. https://arxiv.org/abs/1501.04130

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