Commuting Differential Operators of Rank 3 Associated to a Curve of Genus 2

Abstract

In this paper, we construct some examples of commuting differential operators $L_1$ and $L_2$ with rational coefficients of rank 3 corresponding to a curve of genus 2.

References in corpus (2)

• Self-adjoint commuting differential operators and commutative subalgebras of the Weyl algebra
• On commutative subalgebras of the Weyl algebra that are related to commuting operators of arbitrary rank and genus

Cited by in corpus (3)

• Commuting ordinary differential operators with polynomial coefficients and automorphisms of the first Weyl algebra
• Self-adjoint commuting differential operators and commutative subalgebras of the Weyl algebra
• Difference Krichever-Novikov operators