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- W2963410539 abstract "We investigate an analogue of the Grothendieck p-curvature conjecture, where the vanishing of the p-curvature is replaced by the stronger condition, that the module with connection mod p underlies a $${{mathcal {D}}}_X$$ -module structure. We show that this weaker conjecture holds in various situations, for example if the underlying vector bundle is finite in the sense of Nori, or if the connection underlies a $${{mathbb {Z}}}$$ -variation of Hodge structure. We also show isotriviality assuming a coprimality condition on certain mod p Tannakian fundamental groups, which in particular resolves in the projective case a conjecture of Matzat–van der Put." @default.
- W2963410539 created "2019-07-30" @default.
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- W2963410539 date "2016-11-05" @default.
- W2963410539 modified "2023-10-16" @default.
- W2963410539 title "D-modules and finite monodromy" @default.
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- W2963410539 doi "https://doi.org/10.1007/s00029-016-0294-2" @default.
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