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

Debraj Chakrabarti

doi:10.1007/s00013-015-0843-5

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

Debraj Chakrabarti

Mathematics

Research output: Contribution to journal › Article › peer-review

1 Scopus citations

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.

Original language	English
Pages (from-to)	571-584
Number of pages	14
Journal	Archiv der Mathematik
Volume	105
Issue number	6
DOIs	https://doi.org/10.1007/s00013-015-0843-5
State	Published - Dec 1 2015

Keywords

Dolbeaut cohomology
non-Hausdorff topologies

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10.1007/s00013-015-0843-5

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title = "Some non-pseudoconvex domains with explicitly computable non-Hausdorff Dolbeault cohomology",

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

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Keywords

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