$p$-complete arc-descent for perfect complexes over integral perfectoid rings

IF 0.6 3区数学 Q3 MATHEMATICS

Mathematical Research Letters Pub Date : 2024-07-17 DOI:10.4310/mrl.2023.v30.n6.a4

Kazuhiro Ito

引用次数: 0

Abstract

We prove $p$-complete arc-descent results for finite projective modules and perfect complexes over integral perfectoid rings.Using our resul,we clarify a reduction argument in the proof of the classification of $p$-divisible groups over integral perfectoid rings given by Scholze–Weinstein.

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积分完形环上完形复数的p$完全弧降

我们证明了积分完形环上的有限射影模块和完形复数的 $p$ 完整弧降结果。利用我们的结果，我们澄清了肖尔兹-温斯坦给出的积分完形环上 $p$ 不可分群分类证明中的一个还原论证。

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

Mathematical Research Letters 数学-数学

CiteScore

1.40

自引率

0.00%

发文量

审稿时长

6.0 months

期刊介绍： Dedicated to publication of complete and important papers of original research in all areas of mathematics. Expository papers and research announcements of exceptional interest are also occasionally published. High standards are applied in evaluating submissions; the entire editorial board must approve the acceptance of any paper.