Addition Formulae for Non-Abelian Theta Functions and Applications

2000/08/01 by Esteban Gómez González, E. Gómez González, González, E. Gómez +3
Mathematics · Physics and Astronomy · #14D20 #14H60 (Primary) 14K25 (Secondary) #Advanced Algebra and Geometry #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #FOS: Mathematics #Nonlinear Waves and Solitons #math.AG #msc:14D20 #msc:14H60 #msc:14K25

paper · pdf · doi:10.48550/arxiv.math/0008005

New enlarged version (25 pages). It will appear in Journal of Geometry and Physics. Section 3 has been modified and two new sections have been added

openalex publication_date 2000/08/01 · arxiv created 2002/10/03 · arxiv updated 2016/08/15 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

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.

Related

• An addition formula for the Jacobian theta function with applications
• Abelian functions satisfy an Algebraic Addition Theorem
• Cubic equations for the hyperelliptic locus
• Degenerate Addition Formulas of the KP Hierarchy and Applications
• Theory of general theta relations, addition formulas, and theta constants identities