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arxiv: 0803.2083 · v1 · submitted 2008-03-14 · 🧮 math.AG · math.QA

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

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keywords functionsigmaalgebraicaroundassociatedcorollarycurvecurves
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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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