  Given a matroid M represented by a linear subspace L in n-space (equivalently
by an arrangement of n hyperplanes in L), we define a graded ring R(L) which
degenerates to the Stanley-Reisner ring of the broken circuit complex for any
choice of ordering of the ground set. In particular, R(L) is Cohen-Macaulay,
and may be used to compute the h-vector of the broken circuit complex of M. We
give a geometric interpretation of Spec R(L), as well as a stratification
indexed by the flats of M.
