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arXiv · 1701.01324

Arithmetic D-modules on locally noetherian formal schemes

Richard Crew
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Abstract

We extend Berthelot's theory of arithmetic D-modules to a class of morphisms that are not necessarily of finite type. As an application we give a new construction of the category of convergent isocrystals on a separated scheme of finite type over a field, and show that the pullback by Frobenius is an auto-equivalence. This extends results of Berthelot that were proven in the smooth case.

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Richard Crew. 2017-01-05. Arithmetic D-modules on locally noetherian formal schemes. https://arxiv.org/abs/1701.01324

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