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A note on lattices in semi-stable representations

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Abstract

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.

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  1. Department of Mathematics, Purdue University, West Lafayette, IN, 47906, USA

    Tong Liu

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  1. Tong Liu
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Correspondence to Tong Liu.

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Liu, T. A note on lattices in semi-stable representations. Math. Ann. 346, 117–138 (2010). https://doi.org/10.1007/s00208-009-0392-y

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  • DOI: https://doi.org/10.1007/s00208-009-0392-y

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