Euler systems for modular forms over imaginary quadratic fields

Abstract

We construct an Euler system attached to a weight 2 modular form twisted by a Groessencharacter of an imaginary quadratic field, and apply this to bounding Selmer groups.

Revised version, to appear in Compositio Math

References in corpus (3)

• Euler systems for Rankin--Selberg convolutions of modular forms
• Iwasawa theory and p-adic L-functions over ${\mathbf{Z}}_p^2$-extensions
• On the Brauer class of Modular Endomorphism Algebras

Cited by in corpus (5)

• Euler systems for Hilbert modular surfaces
• Iwasawa theory for the symmetric square of a modular form
• Main conjectures for non-CM elliptic curves at good ordinary primes
• Arithmetic of critical $p$-adic $L$-functions
• On $p$-adic $L$-functions for symplectic representations of GL(N) over number fields