Fedosov quantization in positive characteristic

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dc.creatorBezrukavnikov, R.
dc.creatorKaledin, D.
dc.date2005-01-16
dc.date2007-09-09
dc.date.accessioned2026-07-07T08:28:03Z
dc.date.available2026-07-07T08:28:03Z
dc.descriptionWe 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.
dc.description39 pages, LaTeX2e. Final version, to appear in JAMS
dc.identifierhttps://arxiv.org/abs/math/0501247
dc.identifierhttp://arxiv.org/abs/math/0501247
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/137478
dc.subjectAlgebraic Geometry
dc.subjectSymplectic Geometry
dc.titleFedosov quantization in positive characteristic
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