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arXiv · 0803.2083

On Algebraic Expressions of Sigma Functions for (n,s) Curves

Atsushi Nakayashiki
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Abstract

An expression of the multivariate sigma function associated with a (n,s)-curve is given in terms of algebraic integrals. As a corollary the first term of the series expansion around the origin of the sigma function is directly proved to be the Schur function determined from the gap sequence at infinity.

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Atsushi Nakayashiki. 2008-03-14. On Algebraic Expressions of Sigma Functions for (n,s) Curves. https://arxiv.org/abs/0803.2083

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