Differential forms on arithmetic jet spaces |
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| Authors: | James Borger Alexandru Buium |
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| Institution: | 1. The Australian National University, Canberra, ACT, 0200, Australia
2. University of New Mexico, Albuquerque, NM, 87131, USA
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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, especially arithmetic jet spaces of linear tori, elliptic curves, and Kummer surfaces. |
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