Ulrich bundles on ruled surfaces

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dc.contributor.authorAprodu, Marian
dc.contributor.authorCosta Farràs, Laura
dc.contributor.authorMiró-Roig, Rosa M. (Rosa Maria)
dc.date.accessioned2018-03-08T11:04:46Z
dc.date.available2020-01-31T06:10:12Z
dc.date.issued2018-01
dc.date.updated2018-03-08T11:04:46Z
dc.description.abstractIn 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.
dc.format.extent8 p.
dc.format.mimetypeapplication/pdf
dc.identifier.idgrec668046
dc.identifier.issn0022-4049
dc.identifier.urihttps://hdl.handle.net/2445/120550
dc.language.isoeng
dc.publisherElsevier B.V.
dc.relation.isformatofVersió postprint del document publicat a: https://doi.org/10.1016/j.jpaa.2017.03.007
dc.relation.ispartofJournal of Pure and Applied Algebra, 2018, vol. 222, num. 1, p. 131-138
dc.relation.urihttps://doi.org/10.1016/j.jpaa.2017.03.007
dc.rightscc-by-nc-nd (c) Elsevier B.V., 2018
dc.rights.accessRightsinfo:eu-repo/semantics/openAccess
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/3.0/es
dc.sourceArticles publicats en revistes (Matemàtiques i Informàtica)
dc.subject.classificationSuperfícies algebraiques
dc.subject.classificationGeometria algebraica
dc.subject.otherAlgebraic surfaces
dc.subject.otherAlgebraic geometry
dc.titleUlrich bundles on ruled surfaces
dc.typeinfo:eu-repo/semantics/article
dc.typeinfo:eu-repo/semantics/acceptedVersion

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