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arxiv: math/0309290 · v4 · submitted 2003-09-17 · 🧮 math.AG · math.SG

Fedosov quantization in algebraic context

R. Bezrukavnikov , D. Kaledin This is my paper
classification 🧮 math.AG math.SG
keywords quantizationassumptionsfedosovvarietiesaffinealgebraicalgebro-geometricappropriate
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We consider the problem of quantization of smooth symplectic varieties in the algebro-geometric setting. We show that, under appropriate cohomological assumptions, the Fedosov quantization procedure goes through with minimal changes. The assumptions are satisfied, for example, for affine and for projective varieties. We also give a classification of all possible quantizations.

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Cited by 2 Pith papers

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