Addition Formulae for Non-Abelian Theta Functions and Applications
Algebraic Geometry
2016-08-15 v2
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.
Keywords
Cite
@article{arxiv.math/0008005,
title = {Addition Formulae for Non-Abelian Theta Functions and Applications},
author = {E. Gómez González and F. J. Plaza Martín},
journal= {arXiv preprint arXiv:math/0008005},
year = {2016}
}
Comments
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