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arXiv · 1006.4891

Deformations of trianguline B-pairs and Zariski density of two dimensional crystalline representations

Kentaro Nakamura
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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 Q_p case, where they used (\phi,\Gamma)-modules over the Robba ring instead of using B-pairs. As an application of this theory, in the final chapter, we prove a theorem concerning Zariski density of two dimensional crystalline representations for any p-adic field, which is a generalization of Colmez and Kisin's results in the Q_p case.

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Kentaro Nakamura. 2010-06-25. Deformations of trianguline B-pairs and Zariski density of two dimensional crystalline representations. https://arxiv.org/abs/1006.4891

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