An automorphic approach to Darmon points

Xavier Guitart, Marc Masdeu, Santiago Molina

Published 2017-09-20Version 1

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.