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math.NT2023
A Conjecture of Flach and Morin
Bruno Chiarellotto, Nicola Mazzari, Yukihide Nakada
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 fibe…
math.NT2019
Comparison of relatively unipotent log de Rham fundamental groups
Bruno Chiarellotto, Valentina Di Proietto, Atsushi Shiho
In this paper, we prove compatibilities of various definitions of relatively unipotent log de Rham fundamental groups for certain proper log smooth integral morphisms of fine log s…
math.NT2013
A note on Fontaine theory using different Lubin-Tate groups
Bruno R. Chiarellotto, Francesco Esposito
Using different Lubin-Tate groups, we compare modules associated to a Galois representation via Fontaine's theory.