Heriot-Watt Mathematics Report Series
HWM06-53, 13 Feb 2007
Spectral Curves of Operators with Elliptic Coefficients
JC Eilbeck, VZ Enolski and E Previato
Abstract
A computer-algebra aided method is carried out, for determining geometric objects associated to differential operators with elliptic coefficients that satisfy the Hermite-Krichever ansatz. This results in examples of Lamé curves with double reduction and in the explicit reduction of the theta function of a Halphen curve.
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