Denote by C(B) the cone in \mathbb{R}^d spanned by B. This function computes on each ray of C(B) one element of B which has minimal coordinate sum, and returns the multigraded polynomial ring with the corresponding variables.
If a monomial algebra is specified the function returns a monomial algebra.
i1 : a=3 o1 = 3 |
i2 : B={{a, 0}, {0, a}, {1, a-1}, {a-1, 1}}
o2 = {{3, 0}, {0, 3}, {1, 2}, {2, 1}}
o2 : List
|
i3 : R=QQ[x_0..x_3, Degrees=> B] o3 = R o3 : PolynomialRing |
i4 : findMonomialSubalgebra R
o4 = QQ[x ..x ]
0 1
o4 : PolynomialRing
|
i5 : a=3 o5 = 3 |
i6 : B={{a, 0}, {0, a}, {1, a-1}, {a-1, 1}}
o6 = {{3, 0}, {0, 3}, {1, 2}, {2, 1}}
o6 : List
|
i7 : M=monomialAlgebra B
ZZ
o7 = ---[x ..x ]
101 0 3
o7 : MonomialAlgebra generated by {{3, 0}, {0, 3}, {1, 2}, {2, 1}}
|
i8 : findMonomialSubalgebra M
ZZ
o8 = ---[x ..x ]
101 0 1
o8 : MonomialAlgebra generated by {{3, 0}, {0, 3}}
|
The object findMonomialSubalgebra is a method function.