Geodesic
On Artin representations and nearly ordinary Hecke algebras over totally real fields
Documenta mathematica, Tome 18 (2013), pp. 997-1038
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We prove many new cases of the strong Artin conjecture for two-dimensional, totally odd, insoluble (icosahedral) representations Gal(F/F)→GL2​(C) of the absolute Galois group of a totally real field F.
DOI : 10.4171/dm/419
Classification : 11F33, 11F41, 14G22, 14G35
Mots-clés : Galois representations, Hilbert modular varieties, p-adic modular forms 
@article{10_4171_dm_419,
     author = {Shu Sasaki},
     title = {On {Artin} representations and nearly ordinary {Hecke} algebras over totally real fields},
     journal = {Documenta mathematica},
     pages = {997--1038},
     year = {2013},
     volume = {18},
     doi = {10.4171/dm/419},
     url = {http://geodesic.mathdoc.fr/articles/10.4171/dm/419/}
}
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%J Documenta mathematica
%D 2013
%P 997-1038
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Shu Sasaki. On Artin representations and nearly ordinary Hecke algebras over totally real fields. Documenta mathematica, Tome 18 (2013), pp. 997-1038. doi: 10.4171/dm/419

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