Fedosov quantization in positive characteristic

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We study the problem of deformation quantization for (algebraic) symplectic manifolds over a base field of positive characteristic. We prove a reasonably complete classification theorem for one class of such quantizations; in the course of doing it, we also introduce a notion of a restricted Poisson algebra -- the Poisson analog of the standard notion of a restrictted Lie algebra -- and we prove a version of Darboux Theorem valid in positive characteristic setting.
39 pages, LaTeX2e. Final version, to appear in JAMS

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Algebraic Geometry, Symplectic Geometry

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http://salesiana.dossiersoluciones.com/handle/123456789/137478

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0501247
 http://arxiv.org/abs/math/0501247

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arXiv