I have a problem.. I don't know the subscheme command, what is commonly
use for it? thank you
On Tuesday, April 2, 2013 1:51:20 PM UTC+4:30, Volker Braun wrote:
>
> 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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