Hostname: page-component-78c5997874-fbnjt Total loading time: 0 Render date: 2024-11-05T00:59:56.881Z Has data issue: false hasContentIssue false

On lattices in semi-stable representations: a proof of a conjecture of Breuil

Published online by Cambridge University Press:  01 January 2008

Tong Liu*
Affiliation:
Department of Mathematics, University of Pennsylvania, Philadelphia, PA 19104, USA (email: [email protected])
Rights & Permissions [Opens in a new window]

Abstract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.

For p≥3 an odd prime and a nonnegative integer rp−2, we prove a conjecture of Breuil on lattices in semi-stable representations, that is, the anti-equivalence of categories between the category of strongly divisible lattices of weight r and the category of Galois stable -lattices in semi-stable p-adic Galois representations with Hodge–Tate weights in {0,…,r}.

Type
Research Article
Copyright
Copyright © Foundation Compositio Mathematica 2008