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

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.

42 pages

Cited by in corpus (7)

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• Universal elliptic functions
• Higher Genus Abelian Functions Associated with Cyclic Trigonal Curves
• Prime form and sigma function
• Notes about a combinatorial expression of the fundamental second kind differential on an algebraic curve