Breuil-Kisin-Fargues modules with complex multiplication

Published 27 Jul 2017 in math.NT | (1707.08857v1)

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".

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Johannes Anschütz

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