Breuil-Kisin-Fargues modules with complex multiplication
Number Theory
2017-07-28 v1
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".
Cite
@article{arxiv.1707.08857,
title = {Breuil-Kisin-Fargues modules with complex multiplication},
author = {Johannes Anschütz},
journal= {arXiv preprint arXiv:1707.08857},
year = {2017}
}
Comments
39 pages, comments welcome!