2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/64991The purpose of this article is to give a proof of the $C_{EP,F}(V)$ conjecture for some semi-stable representations and of the $δ_{\Zp}(V)$ conjecture for some crystalline representations. There are two major ingredients: first, the computation of Tamagawa numbers using a variation on results of Fontaine-Laffaille and of Bloch-Kato, and second some continuity results for Bloch-Kato's exponential which were proved by Perrin-Riou.12 pages, in FrenchNumber TheoryAlgebraic Geometry11S, 14F30text