The degree of the forms defining the returned map is 10 in the case of cubic fourfolds, and 26 in the case of GM fourfolds.
i1 : K = ZZ/10000019; S = ideal(random(3,Grass(0,5,K)), random(1,Grass(0,5,K)), random(1,Grass(0,5,K)));
o2 : Ideal of K[p ..p ]
0 5
|
i3 : X = specialCubicFourfold S; -- computing number of nodes using a probabilistic method... -- got 0 nodes o3 : SpecialCubicFourfold (Cubic fourfold containing a surface of degree 3 and sectional genus 1) |
i4 : time f = unirationalParametrization X;
-- used 0.59106 seconds
o4 : RationalMap (rational map from PP^4 to PP^5)
|
i5 : describe f
o5 = rational map defined by forms of degree 10
source variety: PP^4
target variety: PP^5
image: smooth cubic hypersurface in PP^5
dominance: false
birationality: false
coefficient ring: K
|
i6 : image f == ideal X o6 = true |
i7 : degreeMap f o7 = 2 |
The object unirationalParametrization is a method function.