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Title:	Ulrich bundles on ruled surfaces
Author:	Aprodu, Marian; Costa Farràs, Laura; Miró-Roig, Rosa M. (Rosa Maria)
Other authors:	Universitat de Barcelona
Abstract:	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.
Subject(s):	-Superfícies algebraiques -Geometria algebraica -Algebraic surfaces -Algebraic geometry
Rights:	cc-by-nc-nd (c) Elsevier B.V., 2018 http://creativecommons.org/licenses/by-nc-nd/3.0/es
Document type:	Article Article - Accepted version
Published by:	Elsevier B.V.
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