Differential forms on arithmetic jet spaces
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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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2037-12-31
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