Deformation Quantization in Algebraic Geometry

Simple item page
dc.creatorYekutieli, Amnon
dc.date2003-10-24
dc.date2005-07-09
dc.date.accessioned2026-07-07T05:02:14Z
dc.date.available2026-07-07T05:02:14Z
dc.descriptionWe study deformation quantizations of the structure sheaf O_X of a smooth algebraic variety X in characteristic 0. Our main result is that when X is D-affine, any formal Poisson structure on X determines a deformation quantization of O_X (canonically, up to gauge equivalence). This is an algebro-geometric analogue of Kontsevich's celebrated result.
dc.descriptionAMSLaTeX, 41 pages, XYpic and eps figures. Final version; to appear in Advances Math (Michael Artin issue). Several new technical results and remarks in this version
dc.identifierhttps://arxiv.org/abs/math/0310399
dc.identifierhttp://arxiv.org/abs/math/0310399
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/68979
dc.subjectAlgebraic Geometry
dc.subjectQuantum Algebra
dc.subjectRings and Algebras
dc.subject(Classification 2000) Primary: 53D55; Secondary: 14D15, 13D10, 16S80
dc.titleDeformation Quantization in Algebraic Geometry
dc.typetext

Files

Collections

arXiv