Castelnuovo's lemma and \(h\)-vectors of Cohen-Macaulay homogeneous domains

DOI10.1016/0022-4049(94)00139-1zbMath0842.13012OpenAlexW1992794303WikidataQ125056916 ScholiaQ125056916MaRDI QIDQ1909737

Kohji Yanagawa

Publication date: 29 July 1996

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-4049(94)00139-1

zbMATH Keywords

\(h\)-vectorcurves of maximal genusCohen-Macaulay homogeneous domain

Mathematics Subject Classification ID

Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.) (13H10) Hilbert-Samuel and Hilbert-Kunz functions; Poincaré series (13D40) Special algebraic curves and curves of low genus (14H45) Cohen-Macaulay modules (13C14)

Related Items (8)

Almost Gorenstein homogeneous rings and their \(h\)-vectors ⋮ Levelness versus almost Gorensteinness of edge rings of complete multipartite graphs ⋮ Non-level semi-standard graded Cohen-Macaulay domain with \(h\)-vector \((h_{0},h_{1},h_{2})\) ⋮ The h -vectors of the edge rings of a special family of graphs ⋮ Comparing generalized Gorenstein properties in semi-standard graded rings ⋮ On the h-vector of a cohen-macaulay domain in positive characteristic ⋮ Sharp bounds on Castelnuovo-Mumford regularity ⋮ Generic hyperplane section of curves and an application to regularity bounds in positive characteristic

Cites Work

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• Level rings and algebras with straightening laws
• On the Hilbert function of a graded Cohen-Macaulay domain
• Hilbert functions of graded algebras
• Some generalizations of Castelnuovo's lemma on zero-dimensional schemes
• Hyperplane sections of a smooth curve in P³
• Genre des courbes de l'espace projectif. II
• On the Canonical Module of A 0-Dimensional Scheme
• Linear Sections of Determinantal Varieties
• The h-vector of a Gorenstein codimension three domain

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