The toric ring S is the monomial subalgebra given. The function computes the integral closure T of S in the surrounding polynomial ring. If the option
allComputations is set to true, all data that has been computed by
Normaliz is stored in a
RationalCone in the CacheTable of the monomial subalgebra returned.
i1 : R=ZZ/37[x,y,t];
|
i2 : S=createMonomialSubalgebra {x^3, x^2*y, y^3, x*y^2};
|
i3 : T=intclToricRing(allComputations=>true,S)
ZZ
o3 = --[y, x]
37
o3 : monomial subalgebra of R
|
i4 : T.cache#"cone"
o4 = RationalCone{cgr => 0 }
equ => | 0 0 1 |
gen => | 0 1 0 |
| 1 0 0 |
inv => HashTable{ => (1, 1) }
degree 1 elements => 2
graded => true
grading => (1, 1, 0)
grading denom => 1
hilbert basis elements => 2
hilbert series denom => (1, 1)
hilbert series num => 1 : (1)
index => 3
multiplicity => 1
multiplicity denom => 1
number extreme rays => 2
number support hyperplanes => 2
rank => 2
size triangulation => 1
sum dets => 1
sup => | 0 1 0 |
| 1 0 0 |
o4 : RationalCone
|