Reduction of divisors and Clebsch system
Exactly Solvable and Integrable Systems
2022-08-26 v4 Mathematical Physics
Dynamical Systems
math.MP
Abstract
There are a few Lax matrices of the Clebsch system. Poles of the Baker-Akhiezer function determine the class of equivalent divisors on the corresponding spectral curves. According to the Riemann-Roch theorem, each class has a unique reduced representative. We discuss properties of such reduced divisor on the spectral curve of Lax matrix having a natural generalization to case.
Cite
@article{arxiv.2101.09993,
title = {Reduction of divisors and Clebsch system},
author = {A. V. Tsiganov},
journal= {arXiv preprint arXiv:2101.09993},
year = {2022}
}
Comments
14 pages, no figures, LaTeX with AMS fonts