title: Periods of hyperelliptic integrals expressed in terms of theta-constants by means of Thomae formulae.
abstract: Expressions for the periods of first- and second-kind integrals on hyperelliptic curves are given in terms of theta-constants. They are derived with the help of Thomae's classical formulae and Picard-Fuchs equations for complete integrals as functions of the parameters of the curves. The example of genus 2 is considered in detail.
authors.affiliation: Department of Mathematics and Statistics, Concordia University, 1455 de Maisonneuve Boulevard West, Montreal, Quebec, Canada. vze@ma.hw.ac.uk
authors.forename: Victor
authors.initials: V
authors.lastname: Enolski
authors.forename: Peter
authors.initials: P
authors.lastname: Richter