Quantization of restricted Lagrangian subvarieties in positive characteristic

被引:2
|
作者
Mundinger, Joshua [1 ]
机构
[1] Univ Chicago, Chicago, IL 60637 USA
基金
美国国家科学基金会;
关键词
Deformation quantization; Positive characteristic; Lagrangian; FEDOSOV QUANTIZATION;
D O I
10.1016/j.aim.2022.108760
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
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.(c) 2022 Elsevier Inc. All rights reserved.
引用
收藏
页数:27
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