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Affine variety

Hi Is there any command 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) ? kn : fi (a1,...,an)=0 for all 1 ?i?s } is called affine variety ) ? also how can I drew an affine variety plane such as V(x^2-y^2*z^2+z^3) ?

Affine variety

Hi Hi

Is there any command 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) ? kn : fi (a1,...,an)=0 for all 1 ?i?s } is called affine variety ) ? also how can I drew an affine variety plane such as V(x^2-y^2*z^2+z^3) ?

Affine variety

Hi

Is there any command 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) ? kn : fi (a1,...,an)=0 for all 1 ?i?s } is called affine variety ) ? also how can I drew an affine variety plane such as V(x^2-y^2*z^2+z^3) ?<i<s }="" we="" calle="" v(f1,...,fs)="" the="" affine="" variety="" defined="" by="" f1,..,fs="" )="" ?="" also="" how="" can="" i="" drew="" an="" affine="" variety="" plane="" such="" as="" v(x^2-y^2*z^2+z^3)="" ?<="" p="">

Affine variety

Hi

Is there any command 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) ? kn : fi (a1,...,an)=0 for all 1 <i<s }="" we="" calle="" v(f1,...,fs)="" the="" affine="" variety="" defined="" by="" f1,..,fs="" )="" ?="" also="" how="" can="" i="" drew="" an="" affine="" variety="" plane="" such="" as="" v(x^2-y^2*z^2+z^3)="" ?<="" p="">

also how can I drew an affine variety plane such as V(x^2-y^2*z^2+z^3) ?

Affine variety

Hi

Is there any command 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) ? kn : fi (a1,...,an)=0 for all 1 <i<s }="" we="" calle="" call="" v(f1,...,fs)="" the="" affine="" variety="" defined="" by="" f1,..,fs="" )="" ?<="" p="">

also how can I drew an affine variety plane such as V(x^2-y^2*z^2+z^3) ?

Affine variety

Hi

Hi Is there any command 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) ? kn k^n : fi (a1,...,an)=0 for all 1 <i<s }="" we="" call="" v(f1,...,fs)="" the="" affine="" variety="" defined="" by="" f1,..,fs="" )="" ?<="" p=""> ?i?s } we call V(f1,...,fs) the affine variety defined by f1,...,fs ) ?

also Also how can I drew an affine variety plane such as V(x^2-y^2*z^2+z^3) V(x^2- y^2*z^2+ z^3) ?

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Affine variety

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 ) ?

Also how can I drew an affine variety plane such as V(x^2- y^2*z^2+ z^3) ?