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

2011/09/25 by Tony J. Puthenpurakal, Puthenpurakal, Tony J.
Mathematics · #13D07 #Commutative Algebra (math.AC) #FOS: Mathematics #Primary 13A30 #Secondary 13D40 #math.AC #msc:13A30 #msc:13D07 #msc:13D40

paper · pdf · doi:10.48550/arxiv.1109.5326

arxiv created 2011/09/25 · arxiv updated 2011/09/27

Abstract

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.

Related

• On the Monotonicity of Hilbert functions
• The Hilbert Function of a Maximal Cohen-Macaulay Module
• Asymptotic behavior of invariants of syzygies of maximal Cohen-Macaulay modules
• The dual Hilbert-Samuel function of a Maximal Cohen-Macaulay module
• On the Hilbert function of one-dimensional local complete intersections