An automorphic approach to Darmon points

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.

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