Differential operators on an affine curve: ideal classes and Picard groups

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dc.creatorBerest, Yuri
dc.creatorWilson, George
dc.date2008-10-01
dc.date.accessioned2026-07-07T10:06:44Z
dc.date.available2026-07-07T10:06:44Z
dc.descriptionLet X be a smooth complex affine curve, and let R be the space of right ideal classes in the ring D of differential operators on X. We introduce and study a fibration γ: R \to Pic(X). We relate this fibration to the corresponding one in the classical limit, and derive an integer invariant $ n $ which indexes the decomposition of the fibres of γinto Calogero-Moser spaces (see [BC]). We also study the action of the group Pic(D) on our fibration; and we explain how to define γin the framework of the Grassmannian description of R due to Cannings and Holland.
dc.description12 pages
dc.identifierhttps://arxiv.org/abs/0810.0223
dc.identifierhttp://arxiv.org/abs/0810.0223
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/170425
dc.subjectQuantum Algebra
dc.subjectAlgebraic Geometry
dc.subject16S32; 14H60
dc.titleDifferential operators on an affine curve: ideal classes and Picard groups
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