On the connectedness of $p$-adic period domains
Number Theory
2022-12-29 v2 Algebraic Geometry
Abstract
We prove that all -adic period domains (and their non-minuscule analogues) are geometrically connected. This answers a question of Hartl [Har13] and has interesting consequences to the geometry of Shimura and local Shimura varieties.
Cite
@article{arxiv.2210.08625,
title = {On the connectedness of $p$-adic period domains},
author = {Ian Gleason and João Lourenço},
journal= {arXiv preprint arXiv:2210.08625},
year = {2022}
}
Comments
Fixed proof of Lemma 3.3 and improved the introduction