Tamagawa numbers of some crystalline representations

Details Tamagawa numbers of some crystalline representations Tamagawa numbers of some crystalline representations

2002-09-18

arxiv.org/abs/math/0209233v1

Mathematics

Number Theory

12 pages, in French

Scientific paper

The purpose of this article is to give a proof of the $C_{EP,F}(V)$ conjecture for some semi-stable representations and of the $\delta_{\Zp}(V)$ 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.

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