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

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

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.

Gespeichert in:
Bibliographische Detailangaben
Veröffentlicht in:Archiv der Mathematik 2015-12, Vol.105 (6), p.571-584
1. Verfasser: Chakrabarti, Debraj
Format: Artikel
Sprache:eng
Schlagworte:
Mathematics
Mathematics and Statistics
Online-Zugang:Volltext
Tags: Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
Beschreibung
Zusammenfassung: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.
ISSN:0003-889X
1420-8938
DOI:10.1007/s00013-015-0843-5