Addition formulae for non-Abelian theta functions and applications

[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.

[发布日期] 2003-11-01

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