Journal
MOSCOW MATHEMATICAL JOURNAL
Volume 4, Issue 3, Pages 559-592Publisher
INDEPENDENT UNIV MOSCOW-IUM
DOI: 10.17323/1609-4514-2004-4-3-559-592
Keywords
Formal geometry; quantization
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Funding
- NSF [DMS-0071967]
- CRDF [RM1-2354-MO02]
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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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