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Fedosov quantization in positive characteristic
Author(s):
R.
Bezrukavnikov;
D.
Kaledin
Journal:
J. Amer. Math. Soc.
21
(2008),
409-438.
MSC (2000):
Primary 14M99
Posted:
November 26, 2007
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Abstract:
We 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 restricted Lie algebra - and we prove a version of the Darboux Theorem valid in the positive characteristic setting.
References:
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Additional Information:
R.
Bezrukavnikov
Affiliation:
Department of Mathematics, Massachusets Institute of Technology, Cambridge, Massachusetts 02139
Email:
bezrukav@math.mit.edu
D.
Kaledin
Affiliation:
Steklov Institute, Gubkina 8, Moscow, 119991, Russia
DOI:
10.1090/S0894-0347-07-00585-1
PII:
S 0894-0347(07)00585-1
Received by editor(s):
October 7, 2005
Posted:
November 26, 2007
Additional Notes:
The first author was partially supported by NSF grant DMS-0071967.
The second author was partially supported by CRDF grant RM1-2694-MO05.
Copyright of article:
Copyright
2007,
American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.
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