A remark on potentially semi-stable representations of Hodge-Tate type (0,1)

Details A remark on potentially semi-stable representations of Hodge-Tate type (0,1) A remark on potentially semi-stable representations of Hodge-Tate type (0,1)

2001-10-05

arxiv.org/abs/math/0110068v1

Mathematics

Algebraic Geometry

AMSLaTeX; to appear in Math. Zeit

Scientific paper

In this note we complement a part of a theorem of Fontaine-Mazur. We show that if $(V,\rho)$ is an irreducible finite dimensional representation of the Galois group $Gal({\bar K}/K)$ of a finite extension of $K\Q_p$, of Hodge-Tate type $(0,1)$ then it is potentially semi-stable if and only if it is potentially crystalline. This was proved by Fontaine-Mazur for dimension two and $p\geq 5$ by their classfication theorem.

Affiliated with

Also associated with

No associations

Rating

A remark on potentially semi-stable representations of Hodge-Tate type (0,1) 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 A remark on potentially semi-stable representations of Hodge-Tate type (0,1), we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and A remark on potentially semi-stable representations of Hodge-Tate type (0,1) will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-253814