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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| 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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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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info:eu-repo/semantics/article |
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article |
| dc.identifier.none.fl_str_mv |
https://ddd.uab.cat/record/44217 |
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https://ddd.uab.cat/record/44217 |
| dc.language.none.fl_str_mv |
Inglés eng |
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Inglés |
| language |
eng |
| dc.rights.none.fl_str_mv |
open access http://purl.org/coar/access_right/c_abf2 https://creativecommons.org/licenses/by-nc-nd/2.5/ |
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info:eu-repo/semantics/openAccess |
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open access http://purl.org/coar/access_right/c_abf2 https://creativecommons.org/licenses/by-nc-nd/2.5/ |
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openAccess |
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application/pdf |
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Centre de Recerca Matemàtica |
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Centre de Recerca Matemàtica |
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reponame:Dipòsit Digital de Documents de la UAB instname:Universitat Autònoma de Barcelona |
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Universitat Autònoma de Barcelona |
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Dipòsit Digital de Documents de la UAB |
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Dipòsit Digital de Documents de la UAB |
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15.198674 |