Spectral Curves of Operators with Elliptic Coefficients

Physics – Mathematical Physics

Scientific paper

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This is a contribution to the Vadim Kuznetsov Memorial Issue on Integrable Systems and Related Topics, published in SIGMA (Sym

Scientific paper

10.3842/SIGMA.2007.045

A computer-algebra aided method is carried out, for determining geometric
objects associated to differential operators that satisfy the elliptic ansatz.
This results in examples of Lame curves with double reduction and in the
explicit reduction of the theta function of a Halphen curve.

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