Cohen–Macaulay modules over the algebra of planar quasi–invariants and Calogero–Moser systems

DOI10.1112/plms.12341zbMath1453.14011arXiv1703.01762OpenAlexW3106506994MaRDI QIDQ5119821

Alexander Zheglov, Igor Burban

Publication date: 1 September 2020

Published in: Proceedings of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1703.01762

zbMATH Keywords

Cohen-Macaulay modulesCalogero-Moser systemsalgebra of planar quasi-invariants

Mathematics Subject Classification ID

Vector bundles on surfaces and higher-dimensional varieties, and their moduli (14J60) Singularities in algebraic geometry (14B05) Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Pseudodifferential operators and other generalizations of partial differential operators (35S99)

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Deformed Calogero-Moser operators and ideals of rational Cherednik algebras ⋮ The Schur-Sato theory for quasi-elliptic rings ⋮ 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

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