The Hilbert function of a maximal Cohen-Macaulay module Part II

Mathematics – Commutative Algebra

Scientific paper

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Scientific paper

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.

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