Superintegrable systems and Riemann-Roch theorem
Exactly Solvable and Integrable Systems
2020-01-29 v1 Mathematical Physics
Dynamical Systems
math.MP
Abstract
In algebraic geometry, there is a reduction algorithm that transforms the unreduced divisor into a unique reduced divisor, which existence is guaranteed by the Riemann-Roch theorem. We discuss application of this algorithm to construction of finite-dimensional superintegrable systems with degrees of freedom identifying coordinates of the reduced divisor with integrals of motion.
Cite
@article{arxiv.1910.08269,
title = {Superintegrable systems and Riemann-Roch theorem},
author = {A. V. Tsiganov},
journal= {arXiv preprint arXiv:1910.08269},
year = {2020}
}
Comments
LaTeX with AMS packages, 15 pages