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Differential forms on arithmetic jet spaces

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Authors

Borger, James
Buium, Alexandru

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Birkhauser Verlag

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.

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Selecta Mathematica

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Restricted until

2037-12-31