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Differential forms on arithmetic jet spaces

Borger, James; Buium, Alexandru

Description

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.

CollectionsANU Research Publications
Date published: 2011
Type: Journal article
URI: http://hdl.handle.net/1885/65586
Source: Selecta Mathematica
DOI: 10.1007/s00029-010-0054-7

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