English

Refined abelian Stark conjectures and the equivariant leading term conjecture of Burns

Number Theory 2014-06-19 v1

Abstract

We formulate a conjecture which generalizes Darmon's "refined class number formula". We discuss relations between our conjecture and the equivariant leading term conjecture of Burns. As an application, we give another proof of the "except 2-part" of Darmon's conjecture, which was first proved by Mazur and Rubin.

Keywords

Cite

@article{arxiv.1406.4623,
  title  = {Refined abelian Stark conjectures and the equivariant leading term conjecture of Burns},
  author = {Takamichi Sano},
  journal= {arXiv preprint arXiv:1406.4623},
  year   = {2014}
}