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
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spelling An automorphic approach to Darmon pointsGuitart Morales, XavierMasdeu, MarcMolina Blanco, SantiagoTeoria de nombresGeometria algebraica aritmèticaFuncions LGrups discontinusNumber theoryArithmetical algebraic geometryL-functionsDiscontinuous groupsWe 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.Indiana University2023202320192023info:eu-repo/semantics/articleinfo:eu-repo/semantics/submittedVersion24 p.application/pdfhttps://hdl.handle.net/2445/193425Articles publicats en revistes (Matemàtiques i Informàtica)reponame:Recercat. Dipósit de la Recerca de Catalunyainstname:Varias* (Consorci de Biblioteques Universitáries de Catalunya, Centre de Serveis Científics i Acadèmics de Catalunya)InglésVersió preprint del document publicat a: https://doi.org/10.48550/arXiv.1709.06929Indiana University Mathematics Journal, 2019, vol. 69, num. 4, p. 1251-1274https://doi.org/10.48550/arXiv.1709.06929(c) Indiana University Mathematics Journal, 2019info:eu-repo/semantics/openAccessoai:recercat.cat:2445/1934252026-05-29T05:05:01Z
dc.title.none.fl_str_mv An automorphic approach to Darmon points
title An automorphic approach to Darmon points
spellingShingle An automorphic approach to Darmon points
Guitart Morales, Xavier
Teoria de nombres
Geometria algebraica aritmètica
Funcions L
Grups discontinus
Number theory
Arithmetical algebraic geometry
L-functions
Discontinuous groups
title_short An automorphic approach to Darmon points
title_full An automorphic approach to Darmon points
title_fullStr An automorphic approach to Darmon points
title_full_unstemmed An automorphic approach to Darmon points
title_sort An automorphic approach to Darmon points
dc.creator.none.fl_str_mv Guitart Morales, Xavier
Masdeu, Marc
Molina Blanco, Santiago
author Guitart Morales, Xavier
author_facet Guitart Morales, Xavier
Masdeu, Marc
Molina Blanco, Santiago
author_role author
author2 Masdeu, Marc
Molina Blanco, Santiago
author2_role author
author
dc.subject.none.fl_str_mv Teoria de nombres
Geometria algebraica aritmètica
Funcions L
Grups discontinus
Number theory
Arithmetical algebraic geometry
L-functions
Discontinuous groups
topic Teoria de nombres
Geometria algebraica aritmètica
Funcions L
Grups discontinus
Number theory
Arithmetical algebraic geometry
L-functions
Discontinuous groups
description 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.
publishDate 2019
dc.date.none.fl_str_mv 2019
2023
2023
2023
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/submittedVersion
format article
status_str submittedVersion
dc.identifier.none.fl_str_mv https://hdl.handle.net/2445/193425
url https://hdl.handle.net/2445/193425
dc.language.none.fl_str_mv Inglés
language_invalid_str_mv Inglés
dc.relation.none.fl_str_mv Versió preprint del document publicat a: https://doi.org/10.48550/arXiv.1709.06929
Indiana University Mathematics Journal, 2019, vol. 69, num. 4, p. 1251-1274
https://doi.org/10.48550/arXiv.1709.06929
dc.rights.none.fl_str_mv (c) Indiana University Mathematics Journal, 2019
info:eu-repo/semantics/openAccess
rights_invalid_str_mv (c) Indiana University Mathematics Journal, 2019
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv 24 p.
application/pdf
dc.publisher.none.fl_str_mv Indiana University
publisher.none.fl_str_mv Indiana University
dc.source.none.fl_str_mv Articles publicats en revistes (Matemàtiques i Informàtica)
reponame:Recercat. Dipósit de la Recerca de Catalunya
instname:Varias* (Consorci de Biblioteques Universitáries de Catalunya, Centre de Serveis Científics i Acadèmics de Catalunya)
instname_str Varias* (Consorci de Biblioteques Universitáries de Catalunya, Centre de Serveis Científics i Acadèmics de Catalunya)
reponame_str Recercat. Dipósit de la Recerca de Catalunya
collection Recercat. Dipósit de la Recerca de Catalunya
repository.name.fl_str_mv
repository.mail.fl_str_mv
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score 15,812429

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