An infinitesimal-birational duality through differential operators

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dc.creatorMaszczyk, Tomasz
dc.date2005-11-30
dc.date.accessioned2026-07-07T06:51:53Z
dc.date.available2026-07-07T06:51:53Z
dc.descriptionThe structure of filtered algebras of Grothendieck's differential operators of truncated polynomials in one variable and graded Poisson algebras of their principal symbols is explicitly determined. A related infinitesimal-birational duality realized by a Springer type resolution of singularities and the Fourier transformation is presented. This algebro-geometrical duality is quantized in appropriate sense and its quantum origin is explained.
dc.description18 pages
dc.identifierhttps://arxiv.org/abs/math/0511720
dc.identifierhttp://arxiv.org/abs/math/0511720
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/105137
dc.subjectAlgebraic Geometry
dc.subjectQuantum Algebra
dc.subject16S32 (Primary), 16S30 (Secondary)
dc.titleAn infinitesimal-birational duality through differential operators
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