Contents Online
Mathematical Research Letters
Volume 15 (2008)
Number 3
On modular weights of Galois representations
Pages: 537 – 542
DOI: https://dx.doi.org/10.4310/MRL.2008.v15.n3.a13
Author
Abstract
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.
Published 1 January 2008