Petits points et conjecture de Bogomolov

This paper is devoted to the statement known as the Bogomolov conjecture on small points. We present the outline of Zhang's proof of the generalized version of the conjecture. An explicit bound for the height of a non-torsion variety of an abelian variety is obtained in the frame of Arakelov th...

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Autor: Litcanu, R.
Tipo de recurso: artículo
Fecha de publicación:2006
País:España
Institución:Universitat Autònoma de Barcelona
Repositorio:Dipòsit Digital de Documents de la UAB
Idioma:inglés
OAI Identifier:oai:ddd.uab.cat:44217
Acceso en línea:https://ddd.uab.cat/record/44217
Access Level:acceso abierto
Palabra clave:Arakelov, Teoria d'
Camps finits (Àlgebra)
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spelling Petits points et conjecture de BogomolovLitcanu, R.Arakelov, Teoria d'Camps finits (Àlgebra)This paper is devoted to the statement known as the Bogomolov conjecture on small points. We present the outline of Zhang's proof of the generalized version of the conjecture. An explicit bound for the height of a non-torsion variety of an abelian variety is obtained in the frame of Arakelov theory. Some further developments are mentioned.Centre de Recerca MatemàticaCentre de Recerca Matemàtica 22006-01-0120062006-01-01Articlehttp://purl.org/coar/resource_type/c_6501AOhttp://purl.org/coar/version/c_b1a7d7d4d402bcceinfo:eu-repo/semantics/articleapplication/pdfhttps://ddd.uab.cat/record/44217reponame:Dipòsit Digital de Documents de la UABinstname:Universitat Autònoma de BarcelonaInglésengopen accesshttp://purl.org/coar/access_right/c_abf2Aquest document està subjecte a una llicència d'ús Creative Commons. Es permet la reproducció total o parcial, la distribució, i la comunicació pública de l'obra, sempre que no sigui amb finalitats comercials, i sempre que es reconegui l'autoria de l'obra original. No es permet la creació d'obres derivades.https://creativecommons.org/licenses/by-nc-nd/2.5/info:eu-repo/semantics/openAccessoai:ddd.uab.cat:442172026-06-06T12:50:31Z
dc.title.none.fl_str_mv Petits points et conjecture de Bogomolov
title Petits points et conjecture de Bogomolov
spellingShingle Petits points et conjecture de Bogomolov
Litcanu, R.
Arakelov, Teoria d'
Camps finits (Àlgebra)
title_short Petits points et conjecture de Bogomolov
title_full Petits points et conjecture de Bogomolov
title_fullStr Petits points et conjecture de Bogomolov
title_full_unstemmed Petits points et conjecture de Bogomolov
title_sort Petits points et conjecture de Bogomolov
dc.creator.none.fl_str_mv Litcanu, R.
author Litcanu, R.
author_facet Litcanu, R.
author_role author
dc.contributor.none.fl_str_mv Centre de Recerca Matemàtica
dc.subject.none.fl_str_mv Arakelov, Teoria d'
Camps finits (Àlgebra)
topic Arakelov, Teoria d'
Camps finits (Àlgebra)
description This paper is devoted to the statement known as the Bogomolov conjecture on small points. We present the outline of Zhang's proof of the generalized version of the conjecture. An explicit bound for the height of a non-torsion variety of an abelian variety is obtained in the frame of Arakelov theory. Some further developments are mentioned.
publishDate 2006
dc.date.none.fl_str_mv 2
2006-01-01
2006
2006-01-01
dc.type.none.fl_str_mv Article
http://purl.org/coar/resource_type/c_6501
AO
http://purl.org/coar/version/c_b1a7d7d4d402bcce
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dc.identifier.none.fl_str_mv https://ddd.uab.cat/record/44217
url https://ddd.uab.cat/record/44217
dc.language.none.fl_str_mv Inglés
eng
language_invalid_str_mv Inglés
language eng
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dc.rights.openaire.fl_str_mv info:eu-repo/semantics/openAccess
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eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv Centre de Recerca Matemàtica
publisher.none.fl_str_mv Centre de Recerca Matemàtica
dc.source.none.fl_str_mv reponame:Dipòsit Digital de Documents de la UAB
instname:Universitat Autònoma de Barcelona
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collection Dipòsit Digital de Documents de la UAB
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