Timeline for Parametrization of 2-dimensional torus
Current License: CC BY-SA 3.0
6 events
when toggle format | what | by | license | comment | |
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Apr 19, 2011 at 6:24 | vote | accept | Franz Lemmermeyer | ||
Apr 15, 2011 at 22:18 | answer | added | Martin Bright | timeline score: 6 | |
Apr 15, 2011 at 20:39 | comment | added | François Brunault | (Check the function ParametrizeSingularDegree3DelPezzo and the explanations below) | |
Apr 15, 2011 at 20:38 | comment | added | François Brunault | Possibly helpful : magma.maths.usyd.edu.au/magma/handbook/text/1259 | |
Apr 15, 2011 at 20:35 | comment | added | Martin Bright | There is a lot of information on rational parametrisations of singular cubics in Coray & Tsfasman, "Arithmetic on singular del Pezzo surfaces", Proc. LMS 57 (1988), no. 1. From a brief glance it looks like they say this: if the surface is not a cone and there is an isolated singularity defined over the base field, then projection away from the singular point gives a birational map to $\mathbb{P}^2$. If none of your singular points are defined over the base field, you use a Cremona transformation determined by the three singular points and another rational point. | |
Apr 15, 2011 at 19:20 | history | asked | Franz Lemmermeyer | CC BY-SA 3.0 |