Deformations of trianguline B-pairs

2010/02/01 by Nakamura, Kentaro
#11F80 (Primary) #11F85 #11S25 (Secondary) #Algebraic Geometry (math.AG) #FOS: Mathematics #Number Theory (math.NT)

paper · doi:10.48550/arxiv.1002.0353

Abstract

The aim of this article is to study deformation theory of trianguline B-pairs for any p-adic field. For benign B-pairs, a special good class of trianguline B-pairs, we prove a main theorem concerning tangent spaces of these deformation spaces. These are generalizations of Bellaiche-Chenevier's and Chenevier's works in the case of K=Q_p, where they used (phi,Gamma)-modules over Robba ring instead of using B-pairs. The main theorem, the author hopes, will play crucial roles in some problems of Zariski density of modular points or of crystalline points in deformation spaces of global or local p-adic Galois representations.

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