Sur les repr\'esentations p-adiques g\'eom\'etriques de conducteur 1 et de dimension 2 de G_(Q)
classification
🧮 math.NT
keywords
dimensionaccordingadicadiquesconducteurconductorconjectureesentations
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We prove that there is no geometric $p$-adic representation of the Galois group of $\Q$ which is irreducible, of dimension 2, of conductor 1 and low weight, according to a conjecture of Fontaine and Mazur.
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