Breuil-Kisin-Fargues modules with complex multiplication
arXiv:1707.08857
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".
39 pages, comments welcome!