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arXiv · 2011.08259

On the Bezrukavnikov-Kaledin quantization of symplectic varieties in characteristic $p$

Ekaterina Bogdanova·Vadim Vologodsky
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Abstract

We prove that after inverting the Planck constant $h$ the Bezrukavnikov-Kaledin quantization $(X, \mathcal{O}_h)$ of symplectic variety $X$ in characteristic $p$ is Morita equivalent to a certain central reduction of the algebra of differential operators on $X$.

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Ekaterina Bogdanova, Vadim Vologodsky. 2020-11-16. On the Bezrukavnikov-Kaledin quantization of symplectic varieties in characteristic $p$. https://doi.org/10.1112/s0010437x23007601

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