Mathematische Annalen

, 346:117

A note on lattices in semi-stable representations


DOI: 10.1007/s00208-009-0392-y

Cite this article as:
Liu, T. Math. Ann. (2010) 346: 117. doi:10.1007/s00208-009-0392-y


Let p be a prime, K a finite extension over \({{\mathbb Q}_p}\) and \({G = {\rm Gal}(\overline K /K)}\) . We extend Kisin’s theory on \({\varphi}\) -modules of finite E(u)-height to give a new classification of G-stable \({{\mathbb Z}1_p}\) -lattices in semi-stable representations.

Mathematics Subject Classification (2000)

Primary 14F3014L05

Copyright information

© Springer-Verlag 2009

Authors and Affiliations

  1. 1.Department of MathematicsPurdue UniversityWest LafayetteUSA