English

On the 'main conjecture' of equivariant Iwasawa theory

Number Theory 2010-04-30 v2

Abstract

Assuming that Iwasawa's μK/k\mu_{K/k}-invariant vanishes, we prove the 'main conjecture' of equivariant Iwasawa theory, at odd prime numbers ll, for arbitrary extensions K/kK/k of totally real number fields, up to its uniqueness assertion.

Keywords

Cite

@article{arxiv.1004.2578,
  title  = {On the 'main conjecture' of equivariant Iwasawa theory},
  author = {Jürgen Ritter and Alfred Weiss},
  journal= {arXiv preprint arXiv:1004.2578},
  year   = {2010}
}