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
收藏
页码：1855 / 1904
页数：50
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