On Frobenius and Fibers of Arithmetic Jet Spaces

with Arnab Saha

In this article, given a scheme X we show the existence of canonical lifts of Frobenius maps in an inverse system of schemes obtained from the fiber product of the canonical prolongation sequence of arithmetic jet spaces J∗X and a prolongation sequence S∗ over the scheme X. As a consequence, for any smooth group scheme E, if Nn denote the kernel of the canonical projection map of the n-th jet space JnE→E, then the inverse system {Nn}n is a prolongation sequence.

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Release notes

2017-Mar-21: Archive release