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 |
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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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