Differential forms on arithmetic jet spaces
Number Theory
2009-08-19 v1
Abstract
We study derivations and differential forms on the arithmetic jet spaces of smooth schemes, relative to several primes. As applications we give a new interpretation of arithmetic Laplacians and we discuss the de Rham cohomology of some specific arithmetic jet spaces.
Keywords
Cite
@article{arxiv.0908.2512,
title = {Differential forms on arithmetic jet spaces},
author = {James Borger and Alexandru Buium},
journal= {arXiv preprint arXiv:0908.2512},
year = {2009}
}