DOCUMENTA MATHEMATICA, Vol. 18 (2013), 997-1038

Shu Sasaki

On Artin Representations and Nearly Ordinary Hecke Algebras over Totally Real Fields

We prove many new cases of the strong Artin conjecture for two-dimensional, totally odd, insoluble (icosahedral) representations $\mathrm{Gal}(\overline{F}/F)\rightarrow GL_2(\mathbf{C})$ of the absolute Galois group of a totally real field $F$.

2010 Mathematics Subject Classification: 11G80, 11F33, 11F41, 14G22, 14G35

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