A Conjecture of Flach and Morin
Number Theory
2024-08-08 v2 Algebraic Geometry
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.
Keywords
Cite
@article{arxiv.2303.09839,
title = {A Conjecture of Flach and Morin},
author = {Bruno Chiarellotto and Nicola Mazzari and Yukihide Nakada},
journal= {arXiv preprint arXiv:2303.09839},
year = {2024}
}
Comments
In memory of Pierre Berthelot