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arXiv · 1707.08857

Breuil-Kisin-Fargues modules with complex multiplication

Johannes Anschütz
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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. 2017-07-27. Breuil-Kisin-Fargues modules with complex multiplication. https://arxiv.org/abs/1707.08857

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