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

By A. Nakayashiki. 2008

79 citations recorded by the source corpus.

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.

Subfields: Computational Mathematics, Computational Theory and Mathematics, Geometry and Topology

View Paper: https://www.semanticscholar.org/paper/397736b7630d16da66e28fbf341b429fc819009d