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arXiv · 1411.7182

Full faithfulness for overconvergent F-de Rham-Witt connections

Veronika Ertl
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Abstract

Let X be a smooth variety over a perfect field of characteristic p>0. In this small note we define overconvergent F-de Rham-Witt connections as an analogue for F-crystals over proper schemes. We prove that the forgetful functor from the category of overconvergent F-de Rham-Witt connections to the category of convergent F-de Rham-Witt connections is fully faithful. The argument is an analogue of a discussion by Kedlaya on full faithfulness of overconvergent F-isocrystals.}

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Veronika Ertl. 2014-11-26. Full faithfulness for overconvergent F-de Rham-Witt connections. https://arxiv.org/abs/1411.7182

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