Relation Between Hyperelliptic Integrals
High Energy Physics - Theory
2009-10-28 v2
Abstract
A simple property of the integrals over the hyperelliptic surfaces of arbitrary genus is observed. Namely, the derivatives of these integrals with respect to the branching points are given by the linear combination of the same integrals. We check that this property is responsible for the solution to the level zero Knizhnik-Zamolodchikov equation given in terms of hyperelliptic integrals.
Cite
@article{arxiv.hep-th/9405018,
title = {Relation Between Hyperelliptic Integrals},
author = {S. Pakuliak and A. Perelomov},
journal= {arXiv preprint arXiv:hep-th/9405018},
year = {2009}
}
Comments
DFTUZ/94/07, LaTeX, 8 p. (misprints are corrected and two refferences on the related papers are added)