English

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

Commutative Algebra 2011-09-27 v1

Abstract

Let (A,\m)(A,\m) be a strict complete intersection of positive dimension and let MM be a maximal \CM \ AA-module with bounded betti-numbers. We prove that the Hilbert function of MM is non-decreasing. We also prove an analogous statement for complete intersections of codimension two.

Keywords

Cite

@article{arxiv.1109.5326,
  title  = {The Hilbert function of a maximal Cohen-Macaulay module Part II},
  author = {Tony J. Puthenpurakal},
  journal= {arXiv preprint arXiv:1109.5326},
  year   = {2011}
}
R2 v1 2026-06-21T19:09:50.800Z