The dual Hilbert-Samuel function of a Maximal Cohen-Macaulay module

Tony J. Puthenpurakal, Fahed Zulfeqarr

Let $R$ be a Cohen-Macaulay local ring with a canonical module ${\omega }_R$. Let $I$ be an $\m$-primary ideal of $R$ and $M$, a maximal Cohen-Macaulay $R$-module. We call the function $n\…