Spectral Curves of Operators with Elliptic Coefficients

• Опубліковано в: : Symmetry, Integrability and Geometry: Methods and Applications
• Дата: 2007
• Автори: Eilbeck, J.C., Enolski, V.Z., Previato, E.
• Формат: Стаття
• Мова: Англійська
• Опубліковано: Інститут математики НАН України 2007
• Онлайн доступ: https://nasplib.isofts.kiev.ua/handle/123456789/147818
• Назва журналу: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Цитувати: Spectral Curves of Operators with Elliptic Coefficients / J.C. Eilbeck, V.Z. Enolski, E. Previato // Symmetry, Integrability and Geometry: Methods and Applications. — 2007. — Т. 3. — Бібліогр.: 37 назв. — англ.

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.