A ring of commuting differential operators of rank 2 corresponding to a curve of genus 2

DOI10.1070/SM2004v195n05ABEH000823zbMath1092.14043OpenAlexW2023783684MaRDI QIDQ4658310

Andrey E. Mironov

Publication date: 16 March 2005

Published in: Sbornik: Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1070/sm2004v195n05abeh000823

zbMATH Keywords

linear differential operatorcommuting pair of differential operatorsBergnahm-Chaundi polynomialmethod for the construction of commuting pairs of differential operators

Mathematics Subject Classification ID

Relationships between algebraic curves and integrable systems (14H70) Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with algebraic geometry, complex analysis, and special functions (37K20) Commutative rings of differential operators and their modules (13N10) Ordinary differential operators (34L99)

Related Items (10)

On commutative subalgebras of the Weyl algebra related to commuting operators of arbitrary rank and genus ⋮ Application of comparison algebras in construction of commutative composites of symmetric higher order differential operators ⋮ On commuting differential operators of rank 2 ⋮ On commuting differential operators with polynomial coefficients corresponding to spectral curves of genus one ⋮ Commuting differential operators of rank 2 with trigonometric coefficients ⋮ Factorization and resultants of partial differential operators ⋮ Centralizers of rank one in the first Weyl algebra ⋮ Self-adjoint commuting ordinary differential operators ⋮ Commuting elements in the first Weyl algebra over \(\mathbb{Q} \) ⋮ Self-adjoint commuting differential operators of rank 2 and their deformations given by soliton equations

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