Aprodu, MarianCosta Farràs, LauraMiró-Roig, Rosa M. (Rosa Maria)2018-03-082020-01-312018-010022-4049https://hdl.handle.net/2445/120550In 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.8 p.application/pdfengcc-by-nc-nd (c) Elsevier B.V., 2018http://creativecommons.org/licenses/by-nc-nd/3.0/esSuperfícies algebraiquesGeometria algebraicaAlgebraic surfacesAlgebraic geometryinfo:eu-repo/semantics/article6680462018-03-08info:eu-repo/semantics/openAccess