One-point commuting difference operators of rank 1

DOI10.1134/S106456241601021XzbMath1361.13012OpenAlexW2963978744MaRDI QIDQ294336

Gulnara S. Mauleshova, Andrey E. Mironov

Publication date: 16 June 2016

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

Full work available at URL: https://doi.org/10.1134/s106456241601021x

zbMATH Keywords

difference operator\(D\)-modulesspectral varietyWeil algebra automorphisms

Mathematics Subject Classification ID

Particular nonlinear operators (superposition, Hammerstein, Nemytski?, Uryson, etc.) (47H30) Derivations and commutative rings (13N15) General theory of difference equations (39A05)

Related Items (4)

One-point commuting difference operators of rank one and their relation with finite-gap Schrödinger operators ⋮ Surprising examples of nonrational smooth spectral surfaces ⋮ The dressing chain and one-point commuting difference operators of rank 1 ⋮ Periodic One-Point Rank One Commuting Difference Operators

Cites Work

• Commuting difference operators and the combinatorial Gale transform
• Commuting difference operators of rank two
• ALGEBRAIC CURVES AND NON-LINEAR DIFFERENCE EQUATIONS
• Two-dimensionalized Toda lattice, commuting difference operators, and holomorphic bundles
• Sur les algèbres de Weyl
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