Differential forms on arithmetic jet spaces

James Borger; Alexandru Buium

doi:10.1007/s00029-010-0054-7

Differential forms on arithmetic jet spaces

James Borger, Alexandru Buium^*

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

4 Citations (Scopus)

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, especially arithmetic jet spaces of linear tori, elliptic curves, and Kummer surfaces.

Original language	English
Pages (from-to)	301-335
Number of pages	35
Journal	Selecta Mathematica, New Series
Volume	17
Issue number	2
DOIs	https://doi.org/10.1007/s00029-010-0054-7
Publication status	Published - Jun 2011

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Differential forms on arithmetic jet spaces

Abstract

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