Bezrukavnikov, R.; Kaledin, D. Fedosov quantization in algebraic context. (English) Zbl 1074.14014 Mosc. Math. J. 4, No. 3, 559-592 (2004). The authors consider the problem of quantization of smooth symplectic varieties in the algebro-geometric setting. They 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. They also give a classification of all possible quantizations. Reviewer: Stanislaw Janeczko (Warszawa) Cited in 1 ReviewCited in 53 Documents MSC: 14F05 Sheaves, derived categories of sheaves, etc. (MSC2010) 53B50 Applications of local differential geometry to the sciences 53D55 Deformation quantization, star products Keywords:symplectic structures; formal geometry; Harish-Chandra extensions PDFBibTeX XMLCite \textit{R. Bezrukavnikov} and \textit{D. Kaledin}, Mosc. Math. J. 4, No. 3, 559--592 (2004; Zbl 1074.14014) Full Text: arXiv Link