Geodesic
Global quadratic units and Hecke algebras
Documenta mathematica, Tome 3 (1998), pp. 273-284
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Let {ρp​}p​ be a compatible system of two dimansional p-adic Galois representations attached to a cusp form of Neben type (D​)(D>0). We shall give an exact criterion, in terms of the fundamental unit ε of Q(D​), determining primes p for which the image of ρp​modp is dihedral. Then we shall state a conjecture which gives an explicit description of the universal p-ordinary deformation ring of such mod p dihedral representations. 
@article{10_4171_dm_44,
     author = {Haruzo Hida},
     title = {Global quadratic units and {Hecke} algebras},
     journal = {Documenta mathematica},
     pages = {273--284},
     year = {1998},
     volume = {3},
     doi = {10.4171/dm/44},
     url = {http://geodesic.mathdoc.fr/articles/10.4171/dm/44/}
}
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Haruzo Hida. Global quadratic units and Hecke algebras. Documenta mathematica, Tome 3 (1998), pp. 273-284. doi: 10.4171/dm/44

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