Arithmetic jet spaces
Algebraic Geometry
2020-03-30 v1 Number Theory
Abstract
We extend Borger's construction of algebraic jet spaces to allow for an arbitrary prolongation sequence, clarify the relation between Borger's and Buium's jet spaces and compare them in the extended sense. As a result, we strengthen a result of Buium on the relation between Greenberg's transform and the special fiber of jet spaces, including the ramified case.
Keywords
Cite
@article{arxiv.2003.12269,
title = {Arithmetic jet spaces},
author = {Alessandra Bertapelle and Emma Previato and Arnab Saha},
journal= {arXiv preprint arXiv:2003.12269},
year = {2020}
}
Comments
25 pages