Description
Bayer and Morrison showed that GIT stability of the mth Hilbert point of I with respect to the maximal torus acting on a polynomial ring by scaling the variables can be tested by whether
State_{m}(I) contains a certain point.
i1 : R = QQ[a..d];

i2 : I = ideal(a*cb^2,a*db*c,b*dc^2);
o2 : Ideal of R

i3 : isStable(3,I)
o3 = true

i4 : I = ideal(a^2,b^2,b*c);
o4 : Ideal of R

i5 : isStable(3,I)
o5 = false
