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genericArrangement(ZZ,ZZ,Ring) -- realize the uniform matroid using points on the monomial curve



By definition, a generic arrangement is a realization of a uniform matroid $U_{r,n}$, which is characterized by the property that all subsets of the ground set of size at most $r$ are independent. Points on the monomial curve have this property.

i1 : poincare genericArrangement(3,5,QQ)

                 2     3
o1 = 1 + 5T + 10T  + 6T

o1 : ZZ[T]

See also

Ways to use this method: