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 Lamé curves with double reduction and in the explicit reduction of the theta function of a Halphen curve.
|Number of pages||17|
|Journal||Symmetry, Integrability and Geometry: Methods and Applications|
|Publication status||Published - 2007|
- (equianharmonic) elliptic integrals
- Halphen equation
- Theta function