Mathematics – Number Theory
Scientific paper
2009-09-07
Mathematics
Number Theory
Essentially final version, to appear in Compositio Mathematica. This version does not incorporate any minor changes (e.g. typo
Scientific paper
We study the possible weights of an irreducible two-dimensional mod p representation of the absolute Galois group of F which is modular in the sense of that it comes from an automorphic form on a definite quaternion algebra with centre F which is ramified at all places dividing p, where F is a totally real field. In most cases we determine the precise list of possible weights; in the remaining cases we determine the possible weights up to a short and explicit list of exceptions.
Gee Toby
Savitt David
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