Some non-pseudoconvex domains with explicitly computable non-Hausdorff Dolbeault cohomology
classification
🧮 math.CV
keywords
cohomologydolbeaultdomainsexplicitlynon-hausdorffcertainclassicalcohomologies
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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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