BREUIL-KISIN-FARGUES MODULES WITH COMPLEX MULTIPLICATION

被引：2

作者：

Anschuetz, Johannes ^{[1
]}

机构：

[1] Rheinische Friedrich Wilhelms Univ Bonn, Math Inst, Bonn, Germany

来源：

JOURNAL OF THE INSTITUTE OF MATHEMATICS OF JUSSIEU | 2021年 / 20卷 / 06期

关键词：

p-adic Hodge theory; complex multiplication; Tannakian categories; local Galois representations;

D O I：

10.1017/S1474748019000719

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We prove that the category of (rigidified) Breuil-Kisin-Fargues modules up to isogeny is Tannakian. We then introduce and classify Breuil-Kisin-Fargues modules with complex multiplication mimicking the classical theory for rational Hodge structures. In particular, we compute an avatar of a 'p-adic Serre group'.

引用

页码：1855 / 1904

页数：50

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