Iwasawa theory for the symmetric square of a modular form

Abstract

We construct a compatible family of global cohomology classes (an Euler system) for the symmetric square of a modular form, and apply this to bounding Selmer groups of the symmetric square Galois representation and its twists.

Updated version, to appear in J Reine Angew Math

References in corpus (2)

• Rankin--Eisenstein classes and explicit reciprocity laws
• Rankin--Eisenstein classes for modular forms

Cited by in corpus (8)

• Iwasawa theory for Rankin--Selberg products of $p$-non-ordinary eigenforms
• Rank--two Euler systems for symmetric squares
• Iwasawa Invariants for Symmetric Square Representations
• Iwasawa theory for Symmetric Square of non-$p$-ordinary eigenforms
• Congruence primes for automorphic forms on unitary groups and applications to the arithmetic of Ikeda lifts
• Cyclotomic derivatives of Beilinson--Flach classes and a new proof of a Gross--Stark formula
• On the factorisation of the $p$-adic Rankin-Selberg $L$-function in the supersingular case
• P-adic L-functions for GL(3)