1. A conjecture of Flach and Morin.
- Author
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Chiarellotto, Bruno, Mazzari, Nicola, and Nakada, Yukihide
- Subjects
- *
LOGICAL prediction , *FIBERS , *ARITHMETIC , *MORIN , *FAMILIES - 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 that the special fiber of the given arithmetic scheme is also a fiber of a geometric family over a curve in positive characteristic. [ABSTRACT FROM AUTHOR]
- Published
- 2024
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