Separation of Variables and the Geometry of Jacobians
Mathematical Physics
2008-04-24 v1 Algebraic Geometry
math.MP
Exactly Solvable and Integrable Systems
Abstract
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.
Keywords
Cite
@article{arxiv.math-ph/0702032,
title = {Separation of Variables and the Geometry of Jacobians},
author = {Jacques Hurtubise},
journal= {arXiv preprint arXiv:math-ph/0702032},
year = {2008}
}
Comments
This is a contribution to the Vadim Kuznetsov Memorial Issue on Integrable Systems and Related Topics, published in SIGMA (Symmetry, Integrability and Geometry: Methods and Applications) at http://www.emis.de/journals/SIGMA/