Deformation Quantization in Algebraic Geometry

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We 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.
AMSLaTeX, 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

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Algebraic Geometry, Quantum Algebra, Rings and Algebras, (Classification 2000) Primary: 53D55; Secondary: 14D15, 13D10, 16S80

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http://salesiana.dossiersoluciones.com/handle/123456789/68979

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0310399
 http://arxiv.org/abs/math/0310399

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arXiv