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

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dc.creatorPuthenpurakal, Tony J.
dc.creatorZulfeqarr, Fahed
dc.date2008-09-19
dc.date.accessioned2026-07-07T10:04:02Z
dc.date.available2026-07-07T10:04:02Z
dc.descriptionLet $R$ be a Cohen-Macaulay local ring with a canonical module $ω_R$. Let $I$ be an $\m$-primary ideal of $R$ and $M$, a maximal Cohen-Macaulay $R$-module. We call the function $n\longmapsto \ell (\Hom_R(M,{ω_R}/{I^{n+1} ω_R}))$ the dual Hilbert-Samuel function of $M$ with respect to $I$. By a result of Theodorescu this function is a polynomial function. We study its first two normalized coefficients.
dc.identifierhttps://arxiv.org/abs/0809.3353
dc.identifierhttp://arxiv.org/abs/0809.3353
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/169515
dc.subjectCommutative Algebra
dc.subject13D45 (Primary); 13A30 (Secondary)
dc.titleThe dual Hilbert-Samuel function of a Maximal Cohen-Macaulay module
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