Commuting differential operators of rank 2 with rational coefficients
Exactly Solvable and Integrable Systems
2023-04-27 v1 Mathematical Physics
Algebraic Geometry
Classical Analysis and ODEs
math.MP
Abstract
In this paper we find new self-adjoint commuting operators of rank 2 with rational coefficients and prove that any elliptic and hyperelliptic curves of genus 2 are spectral curves of commuting operators with rational coefficients. Also the case when curves of genus 3 are spectral curves of commuting operators with rational coefficients is studied.
Cite
@article{arxiv.1608.05146,
title = {Commuting differential operators of rank 2 with rational coefficients},
author = {Vardan Oganesyan},
journal= {arXiv preprint arXiv:1608.05146},
year = {2023}
}
Comments
23 pages