Addition formulae for non-Abelian theta functions and applications

✍ Scribed by E. Gómez González; F.J. Plaza Martı́n

• Publisher: Elsevier Science
• Year: 2003
• Tongue: English
• Weight: 193 KB
• Volume: 48
• Category: Article
• ISSN: 0393-0440
• DOI: 10.1016/s0393-0440(03)00057-3

✦ Synopsis

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 Szëgo kernel and with the multicomponent KP hierarchy and the behavior under cyclic coverings are given.