On the Modularity of Wildly Ramified Galois Representations

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We show that an infinite family of odd complex 2-dimensional Galois representations ramified at 5 having nonsolvable projective image are modular, thereby verifying Artin's conjecture for a new case of examples. Such a family contains the original example studied by Buhler. In the process, we prove that an infinite family of residually modular Galois representations are modular by studying $Λ$-adic Hecke algebras.
31 pages

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Number Theory, 11F80

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http://salesiana.dossiersoluciones.com/handle/123456789/73170

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0411214
 http://arxiv.org/abs/math/0411214

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arXiv