刚性分析变种的p-adic-Simpson对应关系

IF 0.9 1区数学 Q2 MATHEMATICS

Algebra & Number Theory Pub Date : 2023-08-29 DOI:10.2140/ant.2023.17.1453

Yupeng Wang

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引用次数: 10

摘要

在刘和朱的精神下，我们建立了刚性分析变量X上的p-adic-Simpson对应关系ℂ通过在Xét上构造一个新的周期sheaf，p具有可提升的良好约简。为此，我们使用了Beilinson和Bhatt描述的余切配合物理论。然后给出了一个积分反完备定理，并通过局部计算完成了证明。我们的结构与法尔廷斯和刘、朱以前的作品是一致的。

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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A p-adic Simpson correspondence for rigid analytic varieties

We establish a $p$ -adic Simpson correspondence in the spirit of Liu and Zhu for rigid analytic varieties $X$ over $ℂ_{p}$ with a liftable good reduction by constructing a new period sheaf on $X_{proét}$ . To do so, we use the theory of cotangent complexes described by Beilinson and Bhatt. Then we give an integral decompletion theorem and complete the proof by local calculations. Our construction is compatible with the previous works of Faltings and Liu and Zhu.

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来源期刊

Algebra & Number Theory MATHEMATICS-

CiteScore

1.80

自引率

7.70%

发文量

审稿时长

6-12 weeks

期刊介绍： ANT’s inclusive definition of algebra and number theory allows it to print research covering a wide range of subtopics, including algebraic and arithmetic geometry. ANT publishes high-quality articles of interest to a broad readership, at a level surpassing all but the top four or five mathematics journals. It exists in both print and electronic forms. The policies of ANT are set by the editorial board — a group of working mathematicians — rather than by a profit-oriented company, so they will remain friendly to mathematicians'' interests. In particular, they will promote broad dissemination, easy electronic access, and permissive use of content to the greatest extent compatible with survival of the journal. All electronic content becomes free and open access 5 years after publication.