Rosenhain-Thomae formulae for higher genera hyperelliptic curves
Algebraic Geometry
2017-07-28 v1
Abstract
Rosenhain's famous formula expresses the periods of first kind integrals of genus two hyperelliptic curves in terms of -constants. In this paper we generalize the Rosenhain formula to higher genera hyperelliptic curves by means of the second Thomae formula for derivated non-singular -constants.
Cite
@article{arxiv.1707.08855,
title = {Rosenhain-Thomae formulae for higher genera hyperelliptic curves},
author = {Keno Eilers},
journal= {arXiv preprint arXiv:1707.08855},
year = {2017}
}