• Login
    View Item 
    •   Home
    • Office of Sponsored Research (OSR)
    • KAUST Funded Research
    • Publications Acknowledging KAUST Support
    • View Item
    •   Home
    • Office of Sponsored Research (OSR)
    • KAUST Funded Research
    • Publications Acknowledging KAUST Support
    • View Item
    JavaScript is disabled for your browser. Some features of this site may not work without it.

    Browse

    All of KAUSTCommunitiesIssue DateSubmit DateThis CollectionIssue DateSubmit Date

    My Account

    Login

    Quick Links

    Open Access PolicyORCID LibguideTheses and Dissertations LibguideSubmit an Item

    Statistics

    Display statistics

    A degree bound for families of rational curves on surfaces

    • CSV
    • RefMan
    • EndNote
    • BibTex
    • RefWorks
    Type
    Article
    Authors
    Lubbes, Niels
    Date
    2019-01
    Permanent link to this record
    http://hdl.handle.net/10754/668052
    
    Metadata
    Show full item record
    Abstract
    We 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.
    Citation
    Lubbes, 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
    Sponsors
    I 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.
    Publisher
    Elsevier BV
    Journal
    Journal of Pure and Applied Algebra
    DOI
    10.1016/j.jpaa.2018.02.033
    arXiv
    1402.2454
    Additional Links
    https://linkinghub.elsevier.com/retrieve/pii/S0022404918300513
    ae974a485f413a2113503eed53cd6c53
    10.1016/j.jpaa.2018.02.033
    Scopus Count
    Collections
    Publications Acknowledging KAUST Support

    entitlement

     
    DSpace software copyright © 2002-2023  DuraSpace
    Quick Guide | Contact Us | KAUST University Library
    Open Repository is a service hosted by 
    Atmire NV
     

    Export search results

    The export option will allow you to export the current search results of the entered query to a file. Different formats are available for download. To export the items, click on the button corresponding with the preferred download format.

    By default, clicking on the export buttons will result in a download of the allowed maximum amount of items. For anonymous users the allowed maximum amount is 50 search results.

    To select a subset of the search results, click "Selective Export" button and make a selection of the items you want to export. The amount of items that can be exported at once is similarly restricted as the full export.

    After making a selection, click one of the export format buttons. The amount of items that will be exported is indicated in the bubble next to export format.