On equations defining arithmetically Cohen-Macaulay schemes. I

DOI10.1007/BF01456215zbMath0492.14039OpenAlexW3138509914MaRDI QIDQ1167785

Robert Treger

Publication date: 1982

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/182871

zbMATH Keywords

Hilbert schemeCM schemesarithmetically Cohen-Macaulay schemesgeneric determinantal schemesgeneric Prym-canonical curves of genus 6smallest arithmetic genusvarieties of minimal degrees

Mathematics Subject Classification ID

Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal) (14M05) Parametrization (Chow and Hilbert schemes) (14C05)

Related Items (9)

Arithmetically Buchsbaum divisors on varieties of minimal degree ⋮ An algebraic approach to the regularity index of fat points in \(P^ n\) ⋮ Upper bounds for the degrees of the equations defining locally Cohen- Macaulay schemes ⋮ A combinatorial proof of the Eisenbud-Goto conjecture for monomial curves and some simplicial semigroup rings ⋮ Castelnuovo-Mumford regularity of seminormal simplicial affine semigroup rings ⋮ Decomposition of Semigroup Algebras ⋮ Degree bounds for the defining equations of arithmetically Cohen-Macalay varieties ⋮ On the defining equations of points in general position in \({\mathbb{P}}^ n\) ⋮ Castelnuovo-Mumford regularity of simplicial toric rings.

Cites Work

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• Residues and zero-cycles on algebraic varieties
• Liaison des variétés algébriques. I
• Petri's approach to the study of the ideal associated to a special divisor
• Equations defining rational singularities
• Variétés de Prym et jacobiennes intermédiaires
• Genre des courbes de l'espace projectif
• Lectures on Curves on an Algebraic Surface. (AM-59)
• Varieties Defined by Quadratic Equations

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