Returns the PolynomialRing of a simplicial Complex of a simplicial complex.
i1 : K=QQ; |
i2 : R=K[x_0..x_4]; |
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 |
i4 : D=idealToComplex I o4 = {x x , x x , x x , x x , x x } 2 4 0 3 0 2 1 3 1 4 o4 : complex with 5 facets on the vertices x x x x x 0 1 2 3 4 |
i5 : ring D o5 = R o5 : PolynomialRing |
i6 : fc=facets D o6 = {x x , x x , x x , x x , x x } 2 4 0 3 0 2 1 3 1 4 o6 : List |
i7 : ring fc#0 o7 = R o7 : PolynomialRing |
i8 : S=complex {(entries vars R)#0} o8 = {{x , x , x , x , x }} 0 1 2 3 4 o8 : complex with 1 facets on the vertices x x x x x 0 1 2 3 4 |
i9 : complexToIdeal S o9 = ideal () o9 : Ideal of R |