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arXiv · 1303.2878

On Addition Formulae for Sigma Functions of Telescopic Curves

Takanori Ayano·Atsushi Nakayashiki
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Abstract

A telescopic curve is a certain algebraic curve defined by $m-1$ equations in the affine space of dimension $m$, which can be a hyperelliptic curve and an $(n,s)$ curve as a special case. 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.

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BibTeXRIS

Takanori Ayano, Atsushi Nakayashiki. 2013-06-19. On Addition Formulae for Sigma Functions of Telescopic Curves. https://doi.org/10.3842/sigma.2013.046

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