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Serre weights for mod p Hilbert modular forms: the totally ramified case
-
Toby Gee
und
David Savitt
Veröffentlicht/Copyright:
5. Mai 2011
Abstract
We study the possible weights of an irreducible 2-dimensional modular mod p representation of Gal(
/F), where F is a totally real field which is totally ramified at p, and the representation is tamely ramified at the prime above p. 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.
Received: 2009-05-19
Revised: 2010-04-29
Published Online: 2011-05-05
Published in Print: 2011-November
© Walter de Gruyter Berlin · New York 2011
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- Serre weights for mod p Hilbert modular forms: the totally ramified case
- On the regulator of Fermat motives and generalized hypergeometric functions
- Badly approximable systems of affine forms, fractals, and Schmidt games
- A continuum version of the Kunz–Souillard approach to localization in one dimension
- The Bohr radius of the unit ball of
- On positive solutions of some system of reaction-diffusion equations with nonlocal initial conditions
- The rigidity of embedded constant mean curvature surfaces
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Artikel in diesem Heft
- Serre weights for mod p Hilbert modular forms: the totally ramified case
- On the regulator of Fermat motives and generalized hypergeometric functions
- Badly approximable systems of affine forms, fractals, and Schmidt games
- A continuum version of the Kunz–Souillard approach to localization in one dimension
- The Bohr radius of the unit ball of
- On positive solutions of some system of reaction-diffusion equations with nonlocal initial conditions
- The rigidity of embedded constant mean curvature surfaces
- Isothermic submanifolds of symmetric R-spaces
