A Global Crystalline Period Map
Algebraic Geometry
2019-11-21 v1 Number Theory
Abstract
The crystalline period map is a tool for linearizing -divisible groups. It has been applied to study the Langlands correspondences, and has possible applications to the homotopy groups of spheres. The original construction of the period map is inherently local. We present an alternative construction, giving a map on the entire moduli stack of -divisbile groups, up to isogeny, which specializes to the original local construction.
Cite
@article{arxiv.1911.08615,
title = {A Global Crystalline Period Map},
author = {Michael Neaton and Andreas Pieper and Catherine Ray},
journal= {arXiv preprint arXiv:1911.08615},
year = {2019}
}