Filtered modules corresponding to potentially semi-stable representations. (English) Zbl 1217.11112

Imai, Naoki

J. Number Theory 131, No. 2, 239-259 (2011).

Let \(p>2\) be a prime number, \(K\) a \(p\)-adic field, with the absolute Galois group \(G_K\). The author parametrizes two-dimensional potentially semi-stable \(p\)-adic representations of \(G_K\) with coefficients in a \(p\)-adic field \(E\) by \([K:{\mathbb Q}_p]\) elements of \({\mathbb P}^1(E)\).

Reviewer: Florin Nicolae (Berlin)

MSC:

11S20

Galois theory

Keywords:

\(p\)-adic field; two-dimensional potentially semi-stable \(p\)-adic Galois representation

References:

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