English

An automorphic approach to Darmon points

Number Theory 2019-07-05 v2

Abstract

We give archimedean and non-archimedean constructions of Darmon points on modular abelian varieties attached to automorphic forms over arbitrary number fields and possibly non-trivial central character. An effort is made to present a unifying point of view, emphasizing the automorphic nature of the construction.

Keywords

Cite

@article{arxiv.1709.06929,
  title  = {An automorphic approach to Darmon points},
  author = {Xavier Guitart and Marc Masdeu and Santiago Molina},
  journal= {arXiv preprint arXiv:1709.06929},
  year   = {2019}
}

Comments

Final version. Corrected typos. Accepted for publication in Indiana University Mathematics Journal

R2 v1 2026-06-22T21:49:34.325Z