Periods of hyperelliptic integrals expressed in terms of theta-constants by means of Thomae formulae.
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.
Enolski
Victor
V
Department of Mathematics and Statistics, Concordia University, 1455 de Maisonneuve Boulevard West, Montreal, Quebec, Canada. vze@ma.hw.ac.uk
Richter
Peter
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