Cristallinity of rigid flat connections revisited
Algebraic Geometry
2023-11-23 v2 Number Theory
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 -adic statement and thereby to avoid the classical Simpson correspondence.
Keywords
Cite
@article{arxiv.2309.15949,
title = {Cristallinity of rigid flat connections revisited},
author = {Hélène Esnault and Michael Groechenig},
journal= {arXiv preprint arXiv:2309.15949},
year = {2023}
}
Comments
corrections to Prop. 3.9, 28 pages