On monomial curves and Cohen-Macaulay type

DOI10.1007/BF01169580zbMath0521.13012MaRDI QIDQ1055496

Maria Pia Cavaliere, Gianfranco Niesi

Publication date: 1983

Published in: Manuscripta Mathematica (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/154929

zbMATH Keywords

semigroup ringCohen-Macaulay typeApery setarithmetically Cohen-Macaulay monomial curveCohen-Macaulayness of projective coordinate ring

Mathematics Subject Classification ID

Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal) (14M05) Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.) (13H10) Curves in algebraic geometry (14H99)

Related Items

On the derivations of semigroup rings, ON THE TYPE OF THE ASSOCIATED GRADED RING OF CERTAIN MONOMIAL CURVES, On the Hilbert function of certain rings of monomial curves, Symbolic powers of monomial curves in P³lying on a quadric surface, On set-theoretic complete intersections in the projective space, Sumsets and projective curves, On the derivations of the homogeneous coordinate ring of a monomial curve in P^d_k, Castelnuovo-Mumford regularity of projective monomial curves via sumsets, Differential operators on monomial curves., The fiber cone of a monomial ideal in two variables, Affine semigroups of maximal projective dimension, Betti sequence of the projective closure of affine monomial curves, Projective closure of Gorenstein monomial curves and the Cohen-Macaulay property, Hilbert functions of monomial curves, Affine semigroup rings and monomial varieties, Type and conductor of simplicial affine semigroups, \({\mathcal A}_e\)-codimension of germs of analytic curves, Algebraic invariants of projective monomial curves associated to generalized arithmetic sequences, Cohen-Macaulay criteria for projective monomial curves via Gröbner bases, On the Gauss algebra associated to a rational map \(\mathbb{P}^d\to \mathbb{P}^n\), On Cohen-Macaulay subsemigroups of N², Toric Rings Arising from Cyclic Polytopes, On the fiber cone of monomial ideals

Cites Work

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• On the type of graded Cohen-Macaulay rings
• Generators and relations of abelian semigroups and semigroup rings
• Der kanonische Modul eines Cohen-Macaulay-Rings. (The canonical moduls of a Cohen-Macaulay-ring)
• On Prime Ideals with Generic Zero x i = t n i
• On the Cohen-Macaulayfication of certain Buchsbaum rings