The Hilbert function of a maximal Cohen-Macaulay module Part II
  Let $(A,\m)$ be a strict complete intersection of positive dimension and let $M$ be a maximal \CM \ $A$-module with bounded betti-numbers. We prove that the Hilbert function of $M$ is non-decreasing. We also prove an analogous statement for complete intersections of codimension two. 
Tony J. Puthenpurakal
math.AC