  Given a one-dimensional Cohen-Macaulay local ring we compare several sets of
invariants (micro-invariants, Apery invariants and invariants of the tangent
cone) and give explicit formulas relating them. We show that, in fact, they
coincide if and only if the tangent cone of the ring is Cohen-Macaulay. Some
explicit computations are also given, particularly in the case of semigroup
rings.
