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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Detalles Bibliográficos
Autores: Guitart Morales, Xavier, Masdeu, Marc, Molina Blanco, Santiago
Tipo de recurso: artículo
Estado:Versión enviada para evaluación y publicación
Fecha de publicación:2019
País:España
Institución:Universidad de Barcelona
Repositorio:Dipòsit Digital de la UB
OAI Identifier:oai:diposit.ub.edu:2445/193425
Acceso en línea:https://hdl.handle.net/2445/193425
Access Level:acceso abierto
Palabra clave:Teoria de nombres
Geometria algebraica aritmètica
Funcions L
Grups discontinus
Number theory
Arithmetical algebraic geometry
L-functions
Discontinuous groups
Descripción
Sumario: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.