Ulrich bundles on ruled surfaces

In this short note, we study the existence problem for Ulrich bundles on polarized ruled surfaces, focusing our attention on the smallest possible rank. We show that existence of Ulrich line bundles occurs if and only if the coefficient αof the minimal section in the numerical class of the polarizat...

Descripción completa

Detalles Bibliográficos
Autores: Aprodu, Marian, Costa Farràs, Laura, Miró-Roig, Rosa M. (Rosa Maria)
Tipo de recurso: artículo
Estado:Versión aceptada para publicación
Fecha de publicación:2018
País:España
Institución:Universidad de Barcelona
Repositorio:Dipòsit Digital de la UB
OAI Identifier:oai:diposit.ub.edu:2445/120550
Acceso en línea:https://hdl.handle.net/2445/120550
Access Level:acceso abierto
Palabra clave:Superfícies algebraiques
Geometria algebraica
Algebraic surfaces
Algebraic geometry
id ES_64d07ea47d6bc54d54f63a7b3b1cd49e
oai_identifier_str oai:diposit.ub.edu:2445/120550
network_acronym_str ES
network_name_str España
repository_id_str
spelling Ulrich bundles on ruled surfacesAprodu, MarianCosta Farràs, LauraMiró-Roig, Rosa M. (Rosa Maria)Superfícies algebraiquesGeometria algebraicaAlgebraic surfacesAlgebraic geometryIn this short note, we study the existence problem for Ulrich bundles on polarized ruled surfaces, focusing our attention on the smallest possible rank. We show that existence of Ulrich line bundles occurs if and only if the coefficient αof the minimal section in the numerical class of the polarization equals one. For other polarizations, we prove the existence of rank two Ulrich bundles.Elsevier B.V.2018info:eu-repo/semantics/articleinfo:eu-repo/semantics/acceptedVersionapplication/pdfhttps://hdl.handle.net/2445/120550Articles publicats en revistes (Matemàtiques i Informàtica)reponame:Dipòsit Digital de la UBinstname:Universidad de BarcelonaInglésVersió postprint del document publicat a: https://doi.org/10.1016/j.jpaa.2017.03.007Journal of Pure and Applied Algebra, 2018, vol. 222, num. 1, p. 131-138https://doi.org/10.1016/j.jpaa.2017.03.007cc-by-nc-nd (c) Elsevier B.V., 2018http://creativecommons.org/licenses/by-nc-nd/3.0/esinfo:eu-repo/semantics/openAccessoai:diposit.ub.edu:2445/1205502026-05-27T06:46:51Z
dc.title.none.fl_str_mv Ulrich bundles on ruled surfaces
title Ulrich bundles on ruled surfaces
spellingShingle Ulrich bundles on ruled surfaces
Aprodu, Marian
Superfícies algebraiques
Geometria algebraica
Algebraic surfaces
Algebraic geometry
title_short Ulrich bundles on ruled surfaces
title_full Ulrich bundles on ruled surfaces
title_fullStr Ulrich bundles on ruled surfaces
title_full_unstemmed Ulrich bundles on ruled surfaces
title_sort Ulrich bundles on ruled surfaces
dc.creator.none.fl_str_mv Aprodu, Marian
Costa Farràs, Laura
Miró-Roig, Rosa M. (Rosa Maria)
author Aprodu, Marian
author_facet Aprodu, Marian
Costa Farràs, Laura
Miró-Roig, Rosa M. (Rosa Maria)
author_role author
author2 Costa Farràs, Laura
Miró-Roig, Rosa M. (Rosa Maria)
author2_role author
author
dc.subject.none.fl_str_mv Superfícies algebraiques
Geometria algebraica
Algebraic surfaces
Algebraic geometry
topic Superfícies algebraiques
Geometria algebraica
Algebraic surfaces
Algebraic geometry
description In this short note, we study the existence problem for Ulrich bundles on polarized ruled surfaces, focusing our attention on the smallest possible rank. We show that existence of Ulrich line bundles occurs if and only if the coefficient αof the minimal section in the numerical class of the polarization equals one. For other polarizations, we prove the existence of rank two Ulrich bundles.
publishDate 2018
dc.date.none.fl_str_mv 2018
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/acceptedVersion
format article
status_str acceptedVersion
dc.identifier.none.fl_str_mv https://hdl.handle.net/2445/120550
url https://hdl.handle.net/2445/120550
dc.language.none.fl_str_mv Inglés
language_invalid_str_mv Inglés
dc.relation.none.fl_str_mv Versió postprint del document publicat a: https://doi.org/10.1016/j.jpaa.2017.03.007
Journal of Pure and Applied Algebra, 2018, vol. 222, num. 1, p. 131-138
https://doi.org/10.1016/j.jpaa.2017.03.007
dc.rights.none.fl_str_mv cc-by-nc-nd (c) Elsevier B.V., 2018
http://creativecommons.org/licenses/by-nc-nd/3.0/es
info:eu-repo/semantics/openAccess
rights_invalid_str_mv cc-by-nc-nd (c) Elsevier B.V., 2018
http://creativecommons.org/licenses/by-nc-nd/3.0/es
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv Elsevier B.V.
publisher.none.fl_str_mv Elsevier B.V.
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
_version_ 1869409685197553664
score 15,301603

Similares en LA Referencia