1303.2878 (Takanori Ayano et al.)

On Addition Formulae for Sigma Functions of Telescopic Curves    [PDF]

Takanori Ayano, Atsushi Nakayashiki

A telescopic curve is a certain algebraic curve defined by m-1 equations in the affine space of dimension m, which contains hyperelliptic curves and (n,s) curves as special cases. We extend the addition formulae for sigma functions of (n,s) curves to those of telescopic curves. The expression of the prime form in terms of the derivative of the sigma function is also given.

View original: http://arxiv.org/abs/1303.2878