Derivatives of Schur, Tau and Sigma Functions on Abel-Jacobi Images
Algebraic Geometry
2012-07-23 v2 Quantum Algebra
Abstract
We study derivatives of Schur and tau functions from the view point of the Abel-Jacobi map. We apply the results to establish several properties of derivatives of the sigma function of an (n,s) curve. As byproducts we have an expression of the prime form in terms of derivatives of the sigma function and addition formulae which generalize those of Onishi for hyperelliptic sigma functions.
Keywords
Cite
@article{arxiv.1205.6897,
title = {Derivatives of Schur, Tau and Sigma Functions on Abel-Jacobi Images},
author = {Atsushi Nakayashiki and Keijiro Yori},
journal= {arXiv preprint arXiv:1205.6897},
year = {2012}
}
Comments
33 pages, Minor mistakes are corrected. References are added