Vol. 3, No. 2, 2021

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A geometric construction of semistable extensions of crystalline representations

Martin Olsson

Vol. 3 (2021), No. 2, 207–257
Abstract

We study unipotent fundamental groups for open varieties over p-adic fields with base point degenerating to the boundary. In particular, we show that the Galois representations associated to the étale unipotent fundamental group are semistable.

Keywords
$p$-adic Hodge theory
Mathematical Subject Classification 2010
Primary: 14G99
Milestones
Received: 22 December 2017
Revised: 10 February 2020
Accepted: 24 February 2020
Published: 5 December 2020
Authors
Martin Olsson
Department of Mathematics
University of California
Berkeley, CA
United States