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:Varias* (Consorci de Biblioteques Universitáries de Catalunya, Centre de Serveis Científics i Acadèmics de Catalunya)
Repositorio:Recercat. Dipósit de la Recerca de Catalunya
OAI Identifier:oai:recercat.cat: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.