On Addition Formulae for Sigma Functions of Telescopic Curves
Algebraic Geometry
2013-06-20 v2 Mathematical Physics
math.MP
Quantum Algebra
Abstract
A telescopic curve is a certain algebraic curve defined by equations in the affine space of dimension , which can be a hyperelliptic curve and an curve as a special case. We extend the addition formulae for sigma functions of curves to those of telescopic curves. The expression of the prime form in terms of the derivative of the sigma function is also given.
Keywords
Cite
@article{arxiv.1303.2878,
title = {On Addition Formulae for Sigma Functions of Telescopic Curves},
author = {Takanori Ayano and Atsushi Nakayashiki},
journal= {arXiv preprint arXiv:1303.2878},
year = {2013}
}