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gap> pg:=PG(2,5);
ProjectiveSpace(2, 5)
gap> vv:=VeroneseVariety(pg);
Veronese Variety in ProjectiveSpace(5, 5)
gap> Size(Points(vv))=Size(Points(pg));
true
gap> vm:=VeroneseMap(vv);
Veronese Map of <points of ProjectiveSpace(2, 5)>
gap> r:=PolynomialRing(GF(5),3);
GF(5)[x_1,x_2,x_3]
gap> f:=r.1^2-r.2*r.3;
x_1^2-x_2*x_3
gap> c:=AlgebraicVariety(pg,r,[f]);
Projective Variety in ProjectiveSpace(2, 5)
gap> pts:=List(Points(c));
[ <a point in ProjectiveSpace(2, 5)>, <a point in ProjectiveSpace(2, 5)>,
<a point in ProjectiveSpace(2, 5)>, <a point in ProjectiveSpace(2, 5)>,
<a point in ProjectiveSpace(2, 5)>, <a point in ProjectiveSpace(2, 5)> ]
gap> Dimension(Span(ImagesSet(vm,pts)));
4
[ Dauer der Verarbeitung: 0.14 Sekunden
(vorverarbeitet)
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