Separation of Variables and the Geometry of Jacobians

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2007
• ISSN: 1815-0659
• Main Author: Hurtubise, J.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2007
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/147792
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Separation of Variables and the Geometry of Jacobians / J. Hurtubise // Symmetry, Integrability and Geometry: Methods and Applications. — 2007. — Т. 3. — Бібліогр.: 44 назв. — англ.

This survey examines separation of variables for algebraically integrable Hamiltonian systems whose tori are Jacobians of Riemann surfaces. For these cases there is a natural class of systems which admit separations in a nice geometric sense. This class includes many of the well-known cases.