Extensions of maps defined on many fibres

Let S be a fibred surface. We prove that the existence of morphisms from non countably many fibres to curves implies, up to base change, the existence of a rational map from S to another surface fibred over the same base reflecting the properties of the original morphisms. Under some conditions of u...

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Detalles Bibliográficos
Autores: Barja Yáñez, Miguel Ángel, Naranjo del Val, Juan Carlos
Tipo de recurso: artículo
Estado:Versión publicada
Fecha de publicación:1998
País:España
Institución:Universidad de Barcelona
Repositorio:Dipòsit Digital de la UB
OAI Identifier:oai:diposit.ub.edu:2445/16908
Acceso en línea:https://hdl.handle.net/2445/16908
Access Level:acceso abierto
Palabra clave:Geometria algebraica
Superfícies algebraiques
Algebraic geometry
Algebraic surfaces
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spelling Extensions of maps defined on many fibresBarja Yáñez, Miguel ÁngelNaranjo del Val, Juan CarlosGeometria algebraicaSuperfícies algebraiquesAlgebraic geometryAlgebraic surfacesLet S be a fibred surface. We prove that the existence of morphisms from non countably many fibres to curves implies, up to base change, the existence of a rational map from S to another surface fibred over the same base reflecting the properties of the original morphisms. Under some conditions of unicity base change is not needed and one recovers exactly the initial maps.Universitat de Barcelona1998info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionapplication/pdfhttps://hdl.handle.net/2445/16908Articles publicats en revistes (Matemàtiques i Informàtica)reponame:Dipòsit Digital de la UBinstname:Universidad de BarcelonaInglésReproducció del document publicat a: http://www.collectanea.ub.edu/index.php/Collectanea/article/view/3937/4765Collectanea Mathematica, 1998, vol. 49, num. 2-3, p. 227-238(c) Universitat de Barcelona, 1998info:eu-repo/semantics/openAccessoai:diposit.ub.edu:2445/169082026-05-27T06:46:51Z
dc.title.none.fl_str_mv Extensions of maps defined on many fibres
title Extensions of maps defined on many fibres
spellingShingle Extensions of maps defined on many fibres
Barja Yáñez, Miguel Ángel
Geometria algebraica
Superfícies algebraiques
Algebraic geometry
Algebraic surfaces
title_short Extensions of maps defined on many fibres
title_full Extensions of maps defined on many fibres
title_fullStr Extensions of maps defined on many fibres
title_full_unstemmed Extensions of maps defined on many fibres
title_sort Extensions of maps defined on many fibres
dc.creator.none.fl_str_mv Barja Yáñez, Miguel Ángel
Naranjo del Val, Juan Carlos
author Barja Yáñez, Miguel Ángel
author_facet Barja Yáñez, Miguel Ángel
Naranjo del Val, Juan Carlos
author_role author
author2 Naranjo del Val, Juan Carlos
author2_role author
dc.subject.none.fl_str_mv Geometria algebraica
Superfícies algebraiques
Algebraic geometry
Algebraic surfaces
topic Geometria algebraica
Superfícies algebraiques
Algebraic geometry
Algebraic surfaces
description Let S be a fibred surface. We prove that the existence of morphisms from non countably many fibres to curves implies, up to base change, the existence of a rational map from S to another surface fibred over the same base reflecting the properties of the original morphisms. Under some conditions of unicity base change is not needed and one recovers exactly the initial maps.
publishDate 1998
dc.date.none.fl_str_mv 1998
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
format article
status_str publishedVersion
dc.identifier.none.fl_str_mv https://hdl.handle.net/2445/16908
url https://hdl.handle.net/2445/16908
dc.language.none.fl_str_mv Inglés
language_invalid_str_mv Inglés
dc.relation.none.fl_str_mv Reproducció del document publicat a: http://www.collectanea.ub.edu/index.php/Collectanea/article/view/3937/4765
Collectanea Mathematica, 1998, vol. 49, num. 2-3, p. 227-238
dc.rights.none.fl_str_mv (c) Universitat de Barcelona, 1998
info:eu-repo/semantics/openAccess
rights_invalid_str_mv (c) Universitat de Barcelona, 1998
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv Universitat de Barcelona
publisher.none.fl_str_mv Universitat de Barcelona
dc.source.none.fl_str_mv Articles publicats en revistes (Matemàtiques i Informàtica)
reponame:Dipòsit Digital de la UB
instname:Universidad de Barcelona
instname_str Universidad de Barcelona
reponame_str Dipòsit Digital de la UB
collection Dipòsit Digital de la UB
repository.name.fl_str_mv
repository.mail.fl_str_mv
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