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

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

2008-03-14

arxiv.org/abs/0803.2083v1

Mathematics

Algebraic Geometry

42 pages

Scientific paper

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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