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 (1)

• Abelian Functions for Cyclic Trigonal Curves of Genus Four