English

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

Classical Analysis and ODEs 2020-10-30 v1 Mathematical Physics math.MP

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.

Keywords

Cite

@article{arxiv.2010.15505,
  title  = {Full Addition Formulae of Genus Two Hyperelliptic Functions by the Duplication Method},
  author = {Kazuyasu Shigemoto},
  journal= {arXiv preprint arXiv:2010.15505},
  year   = {2020}
}

Comments

35 pages, 1 figure

R2 v1 2026-06-23T19:44:29.478Z