棱镜理论

IF 2.8 1区数学 Q1 MATHEMATICS

Forum of Mathematics Pi Pub Date : 2020-11-22 DOI:10.1017/fmp.2022.22

Johannes Anschütz, Arthur-César Le Bras

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引用次数: 21

摘要

在Bhatt et al.， Publ.的意义上，我们定义了每个准同音环R (数学。1 . R上可容许的棱镜diudonn晶体的范畴$\mathrm {DM}^{\mathrm {adm}}(R)$和R上p-可分群到$\mathrm {DM}^{\mathrm {adm}}(R)$的函子[j] .物理学报，129(2019)，199-310]。我们证明了这个函子是一个反等价的。我们主要的上同调工具是Bhatt和Scholze最近开发的棱柱形形式论。

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Prismatic Dieudonné Theory

Abstract We define, for each quasisyntomic ring R (in the sense of Bhatt et al., Publ. Math. IHES 129 (2019), 199–310), a category $\mathrm {DM}^{\mathrm {adm}}(R)$ of admissible prismatic Dieudonné crystals over R and a functor from p-divisible groups over R to $\mathrm {DM}^{\mathrm {adm}}(R)$ . We prove that this functor is an antiequivalence. Our main cohomological tool is the prismatic formalism recently developed by Bhatt and Scholze.

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来源期刊

Forum of Mathematics Pi Mathematics-Statistics and Probability

CiteScore

3.50

自引率

0.00%

发文量

审稿时长

19 weeks

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