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Periods of hyperelliptic integrals expressed in terms of $\theta$- constants by means of Thomae formulae

Wednesday 17th October 2001 - 11:00 to 12:00
INI Seminar Room 1
The expressions for the periods of first and second type integrals on hyperelliptic curve are given in terms of $\theta$-constants. The principal tool of the derivation are Thomae formulae which link theta constants with branching points. Another ingredient of the derivation is the Picard-Fuchs equations for the hyperelliptic periods. The talk will survey some basic results in the theory of hyperelliptic functions.
University of Cambridge Research Councils UK
    Clay Mathematics Institute London Mathematical Society NM Rothschild and Sons