Global quadratic units and Hecke algebras
Haruzo Hida
Department of Mathematics, UCLA, Los Angeles, CA 90095-1555, USA
![Global quadratic units and Hecke algebras cover](/_next/image?url=https%3A%2F%2Fcontent.ems.press%2Fassets%2Fpublic%2Fimages%2Fserial-issues%2Fcover-dm-volume-3.png&w=3840&q=90)
Abstract
Let be a compatible system of two dimansional -adic Galois representations attached to a cusp form of Neben type . We shall give an exact criterion, in terms of the fundamental unit of , determining primes for which the image of is dihedral. Then we shall state a conjecture which gives an explicit description of the universal -ordinary deformation ring of such mod dihedral representations.
Cite this article
Haruzo Hida, Global quadratic units and Hecke algebras. Doc. Math. 3 (1998), pp. 273–284
DOI 10.4171/DM/44