An automorphic approach to Darmon points

An automorphic approach to Darmon points

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...

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Hauptverfasser: Guitart Morales, Xavier, Masdeu, Marc, Molina Blanco, Santiago
Format: Artikel
Sprache:eng
Schlagworte:
Arithmetical algebraic geometry
Discontinuous groups
Funcions L
Geometria algebraica aritmètica
Grups discontinus
L-functions
Number theory
Teoria de nombres
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Beschreibung
Zusammenfassung: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.
ISSN:0022-2518
DOI:10.48550/arXiv.1709.06929