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arXiv · 0909.1278

Serre weights for quaternion algebras

Toby Gee·David Savitt
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Abstract

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.

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BibTeXRIS

Toby Gee, David Savitt. 2010-08-31. Serre weights for quaternion algebras. https://doi.org/10.1112/s0010437x1000518x

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