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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: | 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 |
| Related URLs: | |
| URI: | https://mural.maynoothuniversity.ie/id/eprint/10098 |
| Use Licence: | This item is available under a Creative Commons Attribution Non Commercial Share Alike Licence (CC BY-NC-SA). Details of this licence are available here |
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