HIGHER MULTIPLICITIES AND ALMOST FREE DIVISORS 11
f) Nonlinear Almost Free Arrangements are defined as for arrangements
except that (p: Cn,0 — CP,0 is algebraically transverse to A off 0. For example,
we shall see in §3 that the union of a set of isolated hypersurface singularities which
are in "algebraic general position off 0" form an almost free nonlinear arrangement;
but there are more general examples (see §6).