Représentations p-adiques et normes universelles, I. Le cas cristallin

Details Représentations p-adiques et normes universelles, I. Le cas cristallin Représentations p-adiques et normes universelles, I. Le cas cristallin

1998-12-17

arxiv.org/abs/math/9812170v1

Mathematics

Number Theory

Scientific paper

Let V be a crystalline p-adic representation of the absolute Galois group G_K of an finite unramified extension K of Q_p and T a lattice of V stable by G_K. We prove the following result: Let Fil^1 V be the maximal sub-representation of V with Hodge-Tate weights strictly positive and Fil^1 T=T \cap Fil^1 V. Then, the projective limit of the H^1_g(K(\mu_{p^n}), T) is equal up to torsion to the projective limit of the H^1(K(\mu_{p^n}), Fil^1 T). So its rank over the Iwasawa algebra is [K:Q_p] dim Fil^1 V.

Affiliated with

Also associated with

No associations

Rating

Représentations p-adiques et normes universelles, I. Le cas cristallin does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Représentations p-adiques et normes universelles, I. Le cas cristallin, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Représentations p-adiques et normes universelles, I. Le cas cristallin will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-703872