Compute the total space of a first order deformation f or a list of first order deformations. The polynomial ring T is used for the base. The number of variables of T should match dim(FirstOrderDeformation) f (respectively the sum over the deformations in L).
i1 : R=QQ[x_0..x_4]; |
i2 : addCokerGrading(R);
5 4
o2 : Matrix ZZ <--- ZZ
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i3 : I=ideal(x_0*x_1,x_1*x_2,x_2*x_3,x_3*x_4,x_4*x_0)
o3 = ideal (x x , x x , x x , x x , x x )
0 1 1 2 2 3 3 4 0 4
o3 : Ideal of R
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i4 : mg=mingens I;
1 5
o4 : Matrix R <--- R
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i5 : f=firstOrderDeformation(mg, vector {-1,-1,0,2,0})
2
x
3
o5 = ----
x x
0 1
o5 : first order deformation space of dimension 1
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i6 : S=QQ[t] o6 = S o6 : PolynomialRing |
i7 : totalSpace(f,S)
2
o7 = ideal (x x , x x , x x , x x , t*x + x x )
3 4 0 4 2 3 1 2 3 0 1
o7 : Ideal of QQ[t, x , x , x , x , x ]
0 1 2 3 4
|
i8 : f1=firstOrderDeformation(mg, vector {0,-1,-1,0,2})
2
x
4
o8 = ----
x x
1 2
o8 : first order deformation space of dimension 1
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i9 : S=QQ[t1,t2] o9 = S o9 : PolynomialRing |
i10 : totalSpace({f,f1},S)
2 2
o10 = ideal (x x , x x , x x , t2*x + x x , t1*x + x x )
3 4 0 4 2 3 4 1 2 3 0 1
o10 : Ideal of QQ[t1, t2, x , x , x , x , x ]
0 1 2 3 4
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