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dc.contributor.authorLubbes, Niels
dc.date.accessioned2021-03-10T13:17:56Z
dc.date.available2021-03-10T13:17:56Z
dc.date.issued2019-01
dc.identifier.citationLubbes, N. (2019). A degree bound for families of rational curves on surfaces. Journal of Pure and Applied Algebra, 223(1), 30–47. doi:10.1016/j.jpaa.2018.02.033
dc.identifier.issn0022-4049
dc.identifier.doi10.1016/j.jpaa.2018.02.033
dc.identifier.urihttp://hdl.handle.net/10754/668052
dc.description.abstractWe give an upper bound for the degree of rational curves in a family that covers a given birationally ruled surface in projective space. The upper bound is stated in terms of the degree, sectional genus and arithmetic genus of the surface. We introduce an algorithm for constructing examples where the upper bound is tight. As an application of our methods we improve an inequality on lattice polygons.
dc.description.sponsorshipI would like to thank Josef Schicho for useful discussions. This work was supported by base funding of the King Abdullah University of Science and Technology.
dc.publisherElsevier BV
dc.relation.urlhttps://linkinghub.elsevier.com/retrieve/pii/S0022404918300513
dc.rightsNOTICE: this is the author’s version of a work that was accepted for publication in Journal of Pure and Applied Algebra. Changes resulting from the publishing process, such as peer review, editing, corrections, structural formatting, and other quality control mechanisms may not be reflected in this document. Changes may have been made to this work since it was submitted for publication. A definitive version was subsequently published in Journal of Pure and Applied Algebra, [223, 1, (2019-01)] DOI: 10.1016/j.jpaa.2018.02.033 . © 2019. This manuscript version is made available under the CC-BY-NC-ND 4.0 license http://creativecommons.org/licenses/by-nc-nd/4.0/
dc.titleA degree bound for families of rational curves on surfaces
dc.typeArticle
dc.identifier.journalJournal of Pure and Applied Algebra
dc.eprint.versionPost-print
dc.contributor.institutionJohann Radon Institute for Computational and Applied Mathematics (RICAM), Austrian Academy of Sciences, Austria
dc.identifier.volume223
dc.identifier.issue1
dc.identifier.pages30-47
dc.identifier.arxivid1402.2454
dc.identifier.eid2-s2.0-85042644296


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