Mathematics – Algebraic Geometry
Scientific paper
2003-09-17
Mathematics
Algebraic Geometry
46 pages, Latex2e, version 4 and final. Corrected some imprecise statements, added some remarks on canonical quantization
Scientific paper
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.
Bezrukavnikov Roman
Kaledin Dmitry
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