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2007 Supersingular Galois Representations and a Generalization of Conjecture of Serre
Darrin Doud
Experiment. Math. 16(1): 119-128 (2007).


Serre's conjecture relates two-dimensional odd irreducible Galois representations over $\bar\F_p$ to modular forms. We discuss a generalization of this conjecture to higher-dimensional Galois representations. In particular, for $n$-dimensional Galois representations that are irreducible when restricted to the decomposition group at $p$, we strengthen a conjecture of Ash, Doud, and Pollack. We then give computational evidence for this conjecture in the case of three-dimensional representations.


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Darrin Doud. "Supersingular Galois Representations and a Generalization of Conjecture of Serre." Experiment. Math. 16 (1) 119 - 128, 2007.


Published: 2007
First available in Project Euclid: 5 April 2007

zbMATH: 1149.11027
MathSciNet: MR2312982

Primary: 11F80
Secondary: 11F75

Keywords: arithmetic cohomology , Galois representations

Rights: Copyright © 2007 A K Peters, Ltd.

Vol.16 • No. 1 • 2007
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