Amb motiu del tancament d'estiu, la validació de documents es reprendrà a partir del 28 d'agost de 2026. Disculpeu les molèsties.
Con motivo del cierre de verano, la validación de documentos se reanudará a partir del 28 de agosto de 2026. Disculpad las molestias
Due to the summer closure, document validation will resume starting August 28, 2026. We apologize for any inconvenience.

Files

668046.pdf (137.23 KB)

Document type

Article

Version

Accepted version

Publication date

2018-01

Publication license

cc-by-nc-nd (c) Elsevier B.V., 2018
Please use this identifier to cite or link to this item: https://hdl.handle.net/2445/120550

Ulrich bundles on ruled surfaces

Journal Title

Authors

Director/Tutor

Journal ISSN

Volume Title

Related resource

https://doi.org/10.1016/j.jpaa.2017.03.007

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

Superfícies algebraiques, Geometria algebraica

Subject (English)

Algebraic surfaces, Algebraic geometry

Citation

Collections

Articles publicats en revistes (Matemàtiques i Informàtica)

Citation

APRODU, Marian, COSTA FARRÀS, Laura and MIRÓ-ROIG, Rosa M. (Rosa Maria). Ulrich bundles on ruled surfaces. Journal of Pure and Applied Algebra. 2018. Vol. 222, num. 1, pags. 131-138. ISSN 0022-4049. [consulted: 16 of August of 2026]. Available at: https://hdl.handle.net/2445/120550

Export metadata

JSON - METS

Share record