Holomorphic extensions and theta functions on complex tori

被引：0
作者：
Roman J. Dwilewicz
机构：
[1] Missouri University of Science and Technology,Department of Mathematics
[2] Cardinal Stefan Wyszyński University,Faculty of Mathematics
来源：
Monatshefte für Mathematik | 2013年 / 169卷
关键词：
Complex tori; Vector bundles; CR functions; Theta functions; Primary: 32L05; Secondary: 32V25; 14K25; 14K20; 32L20;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
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.
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页码：145 / 160
页数：15
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