Reduction of divisors and Kowalevski top
Exactly Solvable and Integrable Systems
2021-06-08 v4 Mathematical Physics
Dynamical Systems
math.MP
Abstract
In the modern theory of the Kowalevski top there are two elliptic curves introduced by Kowalevski and by Reyman and Semenov-Tian-Shansky. The Kowalevski variables of separation and poles of the Baker-Akhiezer function define two classes of linearly equivalent divisors on these elliptic curves. According to the Riemann-Roch theorem each class has a unique reduced representative and we construct such reduced divisors for the Kowalevski top.
Cite
@article{arxiv.2009.09624,
title = {Reduction of divisors and Kowalevski top},
author = {A. V. Tsiganov},
journal= {arXiv preprint arXiv:2009.09624},
year = {2021}
}
Comments
LaTeX with AMSfonts, 14 pages