On modular weights of Galois representations

• Autores: Michael M. Schein
• Localización: Mathematical research letters, ISSN 1073-2780, Vol. 15, Nº 2-3, 2008, págs. 537-542
• Idioma: inglés
• DOI: 10.4310/mrl.2008.v15.n3.a13
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• Resumen

  • Let $F$ be a totally real field and $\rho: \Gal(\overline{F}/F) \to \GL_2(\Fpbar)$ a Galois representation whose restriction to a decomposition group at some place dividing $p$ is irreducible. Suppose that $\rho$ is modular of some weight $\sigma$. We specify a set of weights, not containing $\sigma$, such that $\rho$ is modular for at least one weight in this set.