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arXiv · 1704.08928

Cohomologie p-adique de la tour de Drinfeld: le cas de la dimension 1

Pierre Colmez·Gabriel Dospinescu·Wiesława Nizioł
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Abstract

We compute the p-adic geometric étale cohomology of the coverings of Drinfeld's half-plane, and we show that, if the base field is Q_p, this cohomology encodes the p-adic local Langlands correspondence for 2-dimensional de Rham representations (of weight 0 and 1).

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Pierre Colmez, Gabriel Dospinescu, Wiesława Nizioł. 2018-06-07. Cohomologie p-adique de la tour de Drinfeld: le cas de la dimension 1. https://arxiv.org/abs/1704.08928

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