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arXiv · 0908.2512

Differential forms on arithmetic jet spaces

James Borger·Alexandru Buium
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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.

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James Borger, Alexandru Buium. 2009-08-18. Differential forms on arithmetic jet spaces. https://arxiv.org/abs/0908.2512

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