English

Darmon points on elliptic curves over number fields of arbitrary signature

Number Theory 2017-05-17 v1 K-Theory and Homology

Abstract

We present new constructions of complex and p-adic Darmon points on elliptic curves over base fields of arbitrary signature. We conjecture that these points are global and present numerical evidence to support our conjecture.

Keywords

Cite

@article{arxiv.1404.6650,
  title  = {Darmon points on elliptic curves over number fields of arbitrary signature},
  author = {Xavier Guitart and Marc Masdeu and Mehmet Haluk Sengun},
  journal= {arXiv preprint arXiv:1404.6650},
  year   = {2017}
}