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    Formulae for null curves deriving from elliptic curves


    Small, Anthony (2008) Formulae for null curves deriving from elliptic curves. Journal of Geometry and Physics, 58 (4). pp. 502-505. ISSN 0393-0440

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    Abstract

    Any elliptic curve can be realised in the tangent bundle of the complex projective line as a double cover branched at four distinct points on the zero section. Such a curve generates, via classical osculation duality, a null curve in C3 and thus an algebraic minimal surface in R3. We derive simple formulae for the coordinate functions of such a null curve.

    Item Type: Article
    Keywords: MSC; primary53A10; secondary53A05; 14Q05;
    Academic Unit: Faculty of Science and Engineering > Mathematics and Statistics
    Item ID: 10098
    Identification Number: https://doi.org/10.1016/j.geomphys.2007.12.005
    Depositing User: Dr. Anthony Small
    Date Deposited: 15 Oct 2018 16:28
    Journal or Publication Title: Journal of Geometry and Physics
    Publisher: Elsevier
    Refereed: Yes
    URI:

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