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arXiv · 2303.09839

A Conjecture of Flach and Morin

Bruno Chiarellotto·Nicola Mazzari·Yukihide Nakada
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Abstract

A conjecture, recently stated by Flach and Morin, relates the action of the monodromy on the Galois invariant part of the p-adic Beilinson-Hyodo-Kato cohomology of the generic fiber of a scheme defined over a DVR of mixed characteristic to (the cohomology of) its special fiber. We prove the conjecture in the case the special fiber, of the given arithmetic scheme, is also a fiber of a geometric family over a curve in positive characteristic.

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Bruno Chiarellotto, Nicola Mazzari, Yukihide Nakada. 2023-03-17. A Conjecture of Flach and Morin. https://doi.org/10.1016/j.jnt.2024.05.013

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