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

Published 16 Jan 2015 in math.CV | (1501.04130v1)

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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