On Tuesday, April 2, 2013 9:32:40 AM UTC+1, Neda wrote:
> Hi Is there any commands for writing affine variety (Let k be a field, and
> let f1,...,fs be polynomials in k[ x1,...,xn]. Then we set V(f1,...,fs)= {
> (a1,...,an) ? k^n : fi (a1,...,an)=0 for all 1 ?i?s } we call V(f1,...,fs)
> the affine variety defined by f1,...,fs ) ?
>
sage: A3.<x,y,z> = AffineSpace(QQ, 3)
sage: V = A3.subscheme([x^2- y^2*z^2+ z^3])
sage: V
Closed subscheme of Affine Space of dimension 3 over Rational Field defined
by:
-y^2*z^2 + z^3 + x^2
> Also how can I drew an affine variety plane such as V(x^2- y^2*z^2+ z^3) ?
>
sage: var('x,y,z')
sage: implicit_plot3d(x^2- y^2*z^2+ z^3, [-3,3], [-3,3], [-3,3])
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