Full Addition Formulae of Genus Two Hyperelliptic Functions by the Duplication Method

Abstract

We have given full algebraic addition formulae of genus two hyperelliptic functions by the duplication method. This full addition formulae according to the duplication method give some hints of Lie group structure in addition formulae of genus two hyperelliptic functions.

arXiv comment35 pages, 1 figure

References in corpus (2)

• The Elliptic Function in Statistical Integrable Models
• Integrability Condition in the Statistical Model and the Addition Formula of g = 2 Hyperelliptic Function