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BREUIL–KISIN–FARGUES MODULES WITH COMPLEX MULTIPLICATION
Published online by Cambridge University Press: 21 January 2020
Abstract
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’.
MSC classification
- Type
- Research Article
- Information
- Journal of the Institute of Mathematics of Jussieu , Volume 20 , Issue 6 , November 2021 , pp. 1855 - 1904
- Copyright
- © Cambridge University Press 2020
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