Addition formulae for non-Abelian theta functions and applications

被引：3

作者：

González, EG ^{[1
]}

Martín, FJP ^{[1
]}

机构：

[1] Univ Salamanca, Dept Matemat, E-37008 Salamanca, Spain

来源：

JOURNAL OF GEOMETRY AND PHYSICS | 2003年 / 48卷 / 2-3期

关键词：

non-Abelian theta functions; generalized theta divisor; moduli spaces of vector bundles on curves; Szego kernel;

D O I：

10.1016/S0393-0440(03)00057-3

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper generalizes for non-Abelian theta functions a number of formulae valid for theta functions of Jacobian varieties. The addition formula, the relation with the Szego kernel and with the multicomponent KP hierarchy and the behavior under cyclic coverings are given. (C) 2003 Elsevier Science B.V. All rights reserved.

引用

页码：480 / 502

页数：23

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