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arXiv · 2309.15949

Cristallinity of rigid flat connections revisited

Hélène Esnault·Michael Groechenig
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Abstract

We generalise a theorem on the existence of Frobenius isocrystal and Fontaine-Laffaille module structures on rigid flat connections to the non-proper setting. The proof is based on a new strategy of a point-set topological flavour, which allows us to produce a purely $p$-adic statement and thereby to avoid the classical Simpson correspondence.

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Hélène Esnault, Michael Groechenig. 2023-09-27. Cristallinity of rigid flat connections revisited. https://arxiv.org/abs/2309.15949

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