Automorphisms and reduction of Heegner points on Shimura curves at Cerednik-Drinfeld primes

The aim of this short note is to show how the interplay of the action of the automorphism group of a Shimura curve on the special fiber of its Cerednik-Drinfeld’s integral model at a prime of bad reduction and its sets of Heegner points, can be exploited to prove some instances of a conjecture that...

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Detalles Bibliográficos
Autores: Molina Blanco, Santiago|||0000-0001-9420-2807, Rotger Cerdà, Víctor|||0000-0002-5293-4425
Tipo de recurso: artículo
Fecha de publicación:2014
País:España
Institución:Universitat Politècnica de Catalunya (UPC)
Repositorio:UPCommons. Portal del coneixement obert de la UPC
Idioma:inglés
OAI Identifier:oai:upcommons.upc.edu:2117/86360
Acceso en línea:https://hdl.handle.net/2117/86360
Access Level:acceso abierto
Palabra clave:Curves, Elliptic
Arithmetical
Shimura varieties
Varietats de Shimura
Àlgebra
Corbes modulars
Àrees temàtiques de la UPC::Matemàtiques i estadística::Àlgebra
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repository_id_str
spelling Automorphisms and reduction of Heegner points on Shimura curves at Cerednik-Drinfeld primesMolina Blanco, Santiago|||0000-0001-9420-2807Rotger Cerdà, Víctor|||0000-0002-5293-4425Curves, EllipticArithmeticalShimura varietiesVarietats de ShimuraÀlgebraCorbes modularsÀrees temàtiques de la UPC::Matemàtiques i estadística::ÀlgebraThe aim of this short note is to show how the interplay of the action of the automorphism group of a Shimura curve on the special fiber of its Cerednik-Drinfeld’s integral model at a prime of bad reduction and its sets of Heegner points, can be exploited to prove some instances of a conjecture that predicts that any automorphism must be an Atkin-Lehner involution.20142014-01-0120162016-04-28journal articlehttp://purl.org/coar/resource_type/c_6501VoRhttp://purl.org/coar/version/c_970fb48d4fbd8a85info:eu-repo/semantics/articleapplication/pdfhttps://hdl.handle.net/2117/86360reponame:UPCommons. Portal del coneixement obert de la UPCinstname:Universitat Politècnica de Catalunya (UPC)Inglésengopen accesshttp://purl.org/coar/access_right/c_abf2http://creativecommons.org/licenses/by-nc-nd/3.0/es/info:eu-repo/semantics/openAccessoai:upcommons.upc.edu:2117/863602026-05-27T15:37:01Z
dc.title.none.fl_str_mv Automorphisms and reduction of Heegner points on Shimura curves at Cerednik-Drinfeld primes
title Automorphisms and reduction of Heegner points on Shimura curves at Cerednik-Drinfeld primes
spellingShingle Automorphisms and reduction of Heegner points on Shimura curves at Cerednik-Drinfeld primes
Molina Blanco, Santiago|||0000-0001-9420-2807
Curves, Elliptic
Arithmetical
Shimura varieties
Varietats de Shimura
Àlgebra
Corbes modulars
Àrees temàtiques de la UPC::Matemàtiques i estadística::Àlgebra
title_short Automorphisms and reduction of Heegner points on Shimura curves at Cerednik-Drinfeld primes
title_full Automorphisms and reduction of Heegner points on Shimura curves at Cerednik-Drinfeld primes
title_fullStr Automorphisms and reduction of Heegner points on Shimura curves at Cerednik-Drinfeld primes
title_full_unstemmed Automorphisms and reduction of Heegner points on Shimura curves at Cerednik-Drinfeld primes
title_sort Automorphisms and reduction of Heegner points on Shimura curves at Cerednik-Drinfeld primes
dc.creator.none.fl_str_mv Molina Blanco, Santiago|||0000-0001-9420-2807
Rotger Cerdà, Víctor|||0000-0002-5293-4425
author Molina Blanco, Santiago|||0000-0001-9420-2807
author_facet Molina Blanco, Santiago|||0000-0001-9420-2807
Rotger Cerdà, Víctor|||0000-0002-5293-4425
author_role author
author2 Rotger Cerdà, Víctor|||0000-0002-5293-4425
author2_role author
dc.subject.none.fl_str_mv Curves, Elliptic
Arithmetical
Shimura varieties
Varietats de Shimura
Àlgebra
Corbes modulars
Àrees temàtiques de la UPC::Matemàtiques i estadística::Àlgebra
topic Curves, Elliptic
Arithmetical
Shimura varieties
Varietats de Shimura
Àlgebra
Corbes modulars
Àrees temàtiques de la UPC::Matemàtiques i estadística::Àlgebra
description The aim of this short note is to show how the interplay of the action of the automorphism group of a Shimura curve on the special fiber of its Cerednik-Drinfeld’s integral model at a prime of bad reduction and its sets of Heegner points, can be exploited to prove some instances of a conjecture that predicts that any automorphism must be an Atkin-Lehner involution.
publishDate 2014
dc.date.none.fl_str_mv 2014
2014-01-01
2016
2016-04-28
dc.type.none.fl_str_mv journal article
http://purl.org/coar/resource_type/c_6501
VoR
http://purl.org/coar/version/c_970fb48d4fbd8a85
dc.type.openaire.fl_str_mv info:eu-repo/semantics/article
format article
dc.identifier.none.fl_str_mv https://hdl.handle.net/2117/86360
url https://hdl.handle.net/2117/86360
dc.language.none.fl_str_mv Inglés
eng
language_invalid_str_mv Inglés
language eng
dc.rights.none.fl_str_mv open access
http://purl.org/coar/access_right/c_abf2

http://creativecommons.org/licenses/by-nc-nd/3.0/es/
dc.rights.openaire.fl_str_mv info:eu-repo/semantics/openAccess
rights_invalid_str_mv open access
http://purl.org/coar/access_right/c_abf2

http://creativecommons.org/licenses/by-nc-nd/3.0/es/
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.source.none.fl_str_mv reponame:UPCommons. Portal del coneixement obert de la UPC
instname:Universitat Politècnica de Catalunya (UPC)
instname_str Universitat Politècnica de Catalunya (UPC)
reponame_str UPCommons. Portal del coneixement obert de la UPC
collection UPCommons. Portal del coneixement obert de la UPC
repository.name.fl_str_mv
repository.mail.fl_str_mv
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score 15,300724

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