Impressum varieties_segre.include   Sprache: unbekannt

gap> sv:=SegreVariety(2,2,9);
Segre Variety in ProjectiveSpace(8, 9)
gap> sm:=SegreMap(sv);
Segre Map of [ <points of ProjectiveSpace(2, 9)>, 
  <points of ProjectiveSpace(2, 9)> ]
gap> cart1:=Cartesian(Points(PG(2,9)),Points(PG(2,9)));;
gap> im1:=ImagesSet(sm,cart1);;
gap> Span(im1);
ProjectiveSpace(8, 9)
gap> l:=Random(Lines(PG(2,9)));
<a line in ProjectiveSpace(2, 9)>
gap> cart2:=Cartesian(Points(l),Points(PG(2,9)));;
gap> im2:=ImagesSet(sm,cart2);;
gap> Span(im2);
<a proj. 5-space in ProjectiveSpace(8, 9)>
gap> x:=Random(Points(PG(2,9)));
<a point in ProjectiveSpace(2, 9)>
gap> cart3:=Cartesian(Points(PG(2,9)),Points(x));;
gap> im3:=ImagesSet(sm,cart3);;
gap> pi:=Span(im3);
<a plane in ProjectiveSpace(8, 9)>
gap> AsSet(List(Points(pi),y->y in sv));
[ true ]