Perfectoid spaces arising from arithmetic jet spaces
Number Theory
2019-11-04 v1
Abstract
Using arithmetic jet spaces, we attach perfectoid spaces to smooth schemes and to -morphisms of smooth schemes. We also study perfectoid spaces attached to arithmetic differential equations defined by some of the remarkable -morphisms appearing in the theory such as the -characters of elliptic curves and the -period map on modular curves.
Keywords
Cite
@article{arxiv.1911.00113,
title = {Perfectoid spaces arising from arithmetic jet spaces},
author = {Alexandru Buium and Lance Edward Miller},
journal= {arXiv preprint arXiv:1911.00113},
year = {2019}
}