On rings of commuting partial differential operators

DOI10.1090/S1061-0022-2014-01316-7zbMath1325.13025arXiv1106.0765OpenAlexW2963526439MaRDI QIDQ2931180

Alexander Zheglov

Publication date: 24 November 2014

Published in: St. Petersburg Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1106.0765

zbMATH Keywords

two-dimensionalcommuting partial differential operators

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) KdV equations (Korteweg-de Vries equations) (35Q53) Algebraic moduli problems, moduli of vector bundles (14D20) Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with algebraic geometry, complex analysis, and special functions (37K20) Derivations and commutative rings (13N15) Formal methods and deformations in algebraic geometry (14D15)

Related Items (6)

The Schur-Sato theory for quasi-elliptic rings ⋮ An algorithm for construction of commuting ordinary differential operators by geometric data ⋮ Surprising examples of nonrational smooth spectral surfaces ⋮ On divisors of small canonical degree on Godeaux surfaces ⋮ Algebraic Geometric Properties of Spectral Surfaces of Quantum Integrable Systems and Their Isospectral Deformations ⋮ A class of Baker-Akhiezer arrangements

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