Quantization of restricted Lagrangian subvarieties in positive characteristic
2021
Bezrukavnikov and Kaledin introduced quantizations of symplectic varieties X in positive characteristic which endow the Poisson bracket on X with the structure of a restricted Lie algebra. We consider deformation quantization of line bundles on Lagrangian subvarieties Y of X to modules over such quantizations. If the ideal sheaf of Y is a restricted Lie subalgebra of the structure sheaf of X, we show that there is a certain cohomology class which vanishes if and only if a line bundle on Y admits a quantization.
Keywords:
- Correction
- Source
- Cite
- Save
- Machine Reading By IdeaReader
13
References
0
Citations
NaN
KQI