How to write twisted cubic in sage?

asked 2013-06-17 09:12:12 +0200

Neda gravatar image


could you please tell me how can I write twisted cubic

( {cost,sint | t in R}= v(x^2+y^2-1) )

in sage? should I use subscheme command and introduce it as an affine variety?

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Your equation looks like a circle... What do you mean by "write" ? What do you want to do with your object ? Plot it ? Compute rational points ?

vdelecroix gravatar imagevdelecroix ( 2013-06-17 10:32:34 +0200 )edit

The twisted cubic in parametric form is: var('t'); parametric_plot3d((t,t^2,t^3),(t,0,4),thickness=3)

calc314 gravatar imagecalc314 ( 2013-06-17 10:54:10 +0200 )edit

should I introduce affine space then use v.rational_points( bound=..) ?

Neda gravatar imageNeda ( 2013-06-17 11:31:16 +0200 )edit