Dihedral Iwasawa theory of nearly ordinary quaternionic automorphic forms

Content Provider	Scilit
Author	Fouquet, Olivier
Copyright Year	2012
Description	Journal: Compositio Mathematica Let π(f) be a nearly ordinary automorphic representation of the multiplicative group of an indefinite quaternion algebra B over a totally real field F with associated Galois representation $ρ_{f}$. Let K be a totally complex quadratic extension of F embedding in B. Using families of CM points on towers of Shimura curves attached to B and K, we construct an Euler system for $ρ_{f}$. We prove that it extends to p-adic families of Galois representations coming from Hida theory and dihedral ℤdp-extensions. When this Euler system is non-trivial, we prove divisibilities of characteristic ideals for the main conjecture in dihedral and modular Iwasawa theory.
Ending Page	416
Starting Page	356
ISSN	00221295
e-ISSN	15705846
DOI	10.1112/s0010437x12000619
Journal	Compositio Mathematica
Issue Number	3
Volume Number	149
Language	English
Publisher	Wiley-Blackwell
Publisher Date	2013-03-01
Access Restriction	Open
Subject Keyword	Journal: Compositio Mathematica Applied Mathematics Euler System Galois Representations Iwasawa Theory
Content Type	Text
Resource Type	Article
Subject	Algebra and Number Theory