Holomorphic Extensions and Theta Functions on Complex Tori

Author

Roman Dwilewicz, Missouri University of Science and TechnologyFollow

Editor(s)

Constantin, A.

Abstract

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.

Recommended Citation

R. Dwilewicz, "Holomorphic Extensions and Theta Functions on Complex Tori," Monatshefte Fur Mathematik, Springer Verlag, Jan 2013.

The definitive version is available at https://doi.org/10.1007/s00605-011-0370-9

Department(s)

Mathematics and Statistics

Keywords and Phrases

complex tori; vector bundles; CR functions; Theta functions

Document Type

Article - Journal

Document Version

Citation

File Type

text

Language(s)

English

Rights

© 2013 Springer Verlag, All rights reserved.

Publication Date

01 Jan 2013