i2 : time describe Phi
-- used 0.283038s (cpu); 0.179752s (thread); 0s (gc)
o2 = multi-rational map consisting of 3 rational maps
source variety: threefold in PP^3 x PP^2 cut out by 2 hypersurfaces of multi-degree (1,1)
target variety: threefold in PP^3 x PP^2 x PP^2 cut out by 7 hypersurfaces of multi-degrees (0,1,1)^3 (1,0,1)^2 (1,1,0)^2
base locus: empty subscheme of PP^3 x PP^2
dominance: true
multidegree: {10, 14, 19, 25}
degree: 1
degree sequence (map 1/3): [(1,0)]
degree sequence (map 2/3): [(0,1), (2,0)]
degree sequence (map 3/3): [(0,1), (2,0)]
coefficient ring: ZZ/33331
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i3 : show Phi
o3 = -- multi-rational map --
ZZ ZZ
source: subvariety of Proj(-----[x0 , x0 , x0 , x0 ]) x Proj(-----[x1 , x1 , x1 ]) defined by
33331 0 1 2 3 33331 0 1 2
{
x0 x1 - x0 x1 + x0 x1 ,
1 0 2 1 3 2
x0 x1 - x0 x1 + x0 x1
0 0 1 1 2 2
}
ZZ ZZ ZZ
target: subvariety of Proj(-----[x0 , x0 , x0 , x0 ]) x Proj(-----[x1 , x1 , x1 ]) x Proj(-----[x2 , x2 , x2 ]) defined by
33331 0 1 2 3 33331 0 1 2 33331 0 1 2
{
x1 x2 - x1 x2 ,
2 1 1 2
x1 x2 - x1 x2 ,
2 0 0 2
x1 x2 - x1 x2 ,
1 0 0 1
x0 x2 - x0 x2 + x0 x2 ,
1 0 2 1 3 2
x0 x2 - x0 x2 + x0 x2 ,
0 0 1 1 2 2
x0 x1 - x0 x1 + x0 x1 ,
1 0 2 1 3 2
x0 x1 - x0 x1 + x0 x1
0 0 1 1 2 2
}
-- rational map 1/3 --
map 1/3, unique representative:
{
x0 ,
0
x0 ,
1
x0 ,
2
x0
3
}
-- rational map 2/3 --
map 2/3, representative 1/2:
{
x1 ,
0
x1 ,
1
x1
2
}
map 2/3, representative 2/2:
{
2
x0 - x0 x0 ,
2 1 3
x0 x0 - x0 x0 ,
1 2 0 3
2
x0 - x0 x0
1 0 2
}
-- rational map 3/3 --
map 3/3, representative 1/2:
{
x1 ,
0
x1 ,
1
x1
2
}
map 3/3, representative 2/2:
{
2
x0 - x0 x0 ,
2 1 3
x0 x0 - x0 x0 ,
1 2 0 3
2
x0 - x0 x0
1 0 2
}
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