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 in terms of this class.
R. Dwilewicz, "Holomorphic Extensions and Theta Functions on Complex Tori," Monatshefte Fur Mathematik, Springer Verlag, Jan 2013.
The definitive version is available at http://dx.doi.org/10.1007/s00605-011-0370-9
Mathematics and Statistics
Keywords and Phrases
complex tori; vector bundles; CR functions; Theta functions
Article - Journal
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