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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.AC2024★ 1 cited
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…