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arxiv: 1011.3447 · v2 · pith:ZAKEHWX6new · submitted 2010-11-15 · 🧮 math.NT · math.AG

Trianguline representations

classification 🧮 math.NT math.AG
keywords representationstriangulinedefinitiongammamodulestheoryarithmeticcertain
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Trianguline representations are a certain class of p-adic representations of Gal(Qp^alg/Qp) like the crystalline, semistable and de Rham representations of Fontaine. Their definition involves the theory of (phi,Gamma)-modules. In this survey, we explain the theory of (phi,Gamma)-modules and the definition and properties of trianguline representations. After that, we give some examples of their occurrence in arithmetic geometry.

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