i1 : X = specialGushelMukaiFourfold("21",ZZ/33331); o1 : ProjectiveVariety, GM fourfold containing a surface of degree 12 and sectional genus 5 |
i2 : describe X o2 = Special Gushel-Mukai fourfold of discriminant 26(') containing a surface in PP^8 of degree 12 and sectional genus 5 cut out by 16 hypersurfaces of degree 2 and with class in G(1,4) given by 7*s_(3,1)+5*s_(2,2) Type: ordinary (case 21 of Table 1 in arXiv:2002.07026) |
i3 : Y = grassmannianHull X; o3 : ProjectiveVariety, 5-dimensional subvariety of PP^8 |
i4 : isSubset(X,Y) o4 = true |
i5 : Y! dim:.................. 5 codim:................ 3 degree:............... 5 sectional genus:...... 1 generators:........... 2^5 linear normality:..... true connected components:. 1 purity:............... true dim sing. l.:......... -1 |
The object grassmannianHull is a method function.