On the Bezrukavnikov–Kaledin quantization of symplectic varieties in characteristic p

IF 1.3 1区数学 Q1 MATHEMATICS Compositio Mathematica Pub Date : 2024-01-05 DOI:10.1112/s0010437x23007601

Ekaterina Bogdanova, Vadim Vologodsky

引用次数: 0

Abstract

We prove that after inverting the Planck constant Abstract Image $h$, the Bezrukavnikov–Kaledin quantization $(X, {\mathcal {O}}_h)$ of symplectic variety $X$ in characteristic $p$ with $H^2(X, {\mathcal {O}}_X) =0$ is Morita equivalent to a certain central reduction of the algebra of differential operators on $X$.

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论特征 p 中交错变体的贝兹鲁卡夫尼科夫-卡列丁量子化

我们证明，在反转普朗克常数 $h$ 之后，特征 $p$ 的交错杂元 $X$ 的贝兹鲁卡夫尼科夫-卡列丁量子化 $(X, {\mathcal {O}}_h)$ 与 $H^2(X, {\mathcal {O}}_X) =0$ 是与 $X$ 上微分算子代数的某个中心还原等价的。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Compositio Mathematica 数学-数学

CiteScore

2.10

自引率

0.00%

发文量

审稿时长

6-12 weeks

期刊介绍： Compositio Mathematica is a prestigious, well-established journal publishing first-class research papers that traditionally focus on the mainstream of pure mathematics. Compositio Mathematica has a broad scope which includes the fields of algebra, number theory, topology, algebraic and differential geometry and global analysis. Papers on other topics are welcome if they are of broad interest. All contributions are required to meet high standards of quality and originality. The Journal has an international editorial board reflected in the journal content.

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