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math.AC2026
Gröbner bases of Burchnall-Chaundy ideals for ordinary differential operators
Antonio Jiménez-Pastor, Sonia L. Rueda
The correspondence between commutative rings of ordinary differential operators (ODOs) and algebraic curves was established by Burchnall and Chaundy, Krichever and Mumford, among m…
math.AC2025
Computing almost commuting bases of ODOs and Gelfand-Dickey hierarchies
Antonio Jiménez-Pastor, Sonia L. Rueda, Maria-Angeles Zurro +2
Almost commuting operators were introduced in 1985 by George Wilson to present generalizations of the Korteweg-de Vries hierarchy, nowadays known as Gelfand-Dickey (GD) hierarchies…