On the structure of some p-adic period domains
Algebraic Geometry
2017-10-20 v1 Number Theory
Abstract
We prove the Fargues-Rapoport conjecture for p-adic period domains: for a reductive group G over a p-adic field and a minuscule cocharacter {\mu} of G, the weakly admissible locus coincides with the admissible one if and only if the Kottwitz set B(G,{\mu}) is fully Hodge-Newton decomposable.
Keywords
Cite
@article{arxiv.1710.06935,
title = {On the structure of some p-adic period domains},
author = {Miaofen Chen and Laurent Fargues and Xu Shen},
journal= {arXiv preprint arXiv:1710.06935},
year = {2017}
}