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CMStats -- fraction of monomial ideals (or other objects) in the given list whose quotient ring is Cohen-Macaulay

Synopsis

Description

The function checks whether the coordinate ring of each ideal in the given sample is arithmetically Cohen-Macaulay and returns the proportion that are.

i1 : R=ZZ/101[a,b,c];
i2 : ideals = {monomialIdeal"a3,b,c2", monomialIdeal"a3,b,ac"}

                      3      2                   3
o2 = {monomialIdeal (a , b, c ), monomialIdeal (a , b, a*c)}

o2 : List
i3 : CMStats(ideals)

     1
o3 = -
     2

o3 : QQ

Ways to use CMStats:

For the programmer

The object CMStats is a method function with options.