English

Iwasawa theory for elliptic curves

Number Theory 2016-09-07 v1

Abstract

We study this subject by first proving that the p-primary subgroup of the classical Selmer group for an elliptic curve with good, ordinary reduction at a prime p has a very simple and elegant description which involves just the Galois module of p-power torsion points. We then prove theorems of Mazur, Schneider, and Perrin-Riou on the basis of this description. The final section, which is half of this long paper, contains a number of results and examples including a thorough study of the mu-invariant.

Keywords

Cite

@article{arxiv.math/9809206,
  title  = {Iwasawa theory for elliptic curves},
  author = {Ralph Greenberg},
  journal= {arXiv preprint arXiv:math/9809206},
  year   = {2016}
}

Comments

Abstract added in migration (from Greenberg's web page)