Holomorphic extensions and theta functions on complex tori

Holomorphic extensions and theta functions on complex tori

In this paper we give a complete characterization of vector bundles of any dimension over complex tori in which the Hartogs–Bochner holomorphic extension phenomenon holds. Since holomorphic sections of line bundles over complex tori can be identified with theta functions, the results are formulated...

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Veröffentlicht in:Monatshefte für Mathematik 2013-02, Vol.169 (2), p.145-160
1. Verfasser: Dwilewicz, Roman J.
Format: Artikel
Sprache:eng
Schlagworte:
Mathematics
Mathematics and Statistics
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Zusammenfassung:In this paper we give a complete characterization of vector bundles of any dimension over complex tori in which the Hartogs–Bochner holomorphic extension phenomenon holds. Since holomorphic sections of line bundles over complex tori can be identified with theta functions, the results are formulated in terms of this class.
ISSN:0026-9255
1436-5081
DOI:10.1007/s00605-011-0370-9