English

Iwasawa theory for the symmetric square of a modular form

Number Theory 2021-01-27 v2

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.

Keywords

Cite

@article{arxiv.1512.03678,
  title  = {Iwasawa theory for the symmetric square of a modular form},
  author = {David Loeffler and Sarah Livia Zerbes},
  journal= {arXiv preprint arXiv:1512.03678},
  year   = {2021}
}

Comments

Updated version, to appear in J Reine Angew Math