Spectral curves of operators with elliptic coefficients

John Christopher Eilbeck, V. Z Enolskii, E. Previato

Research output: Contribution to journalArticlepeer-review

5 Citations (Scopus)


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.

Original languageEnglish
Article number045
Number of pages17
JournalSymmetry, Integrability and Geometry: Methods and Applications
Publication statusPublished - 2007


  • (equianharmonic) elliptic integrals
  • Halphen equation
  • Hermite
  • Lamé
  • Theta function


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