Degree bounds for the defining equations of arithmetically Cohen-Macalay varieties

DOI10.1007/BF01458428zbMath0616.14039OpenAlexW2051968353MaRDI QIDQ1821172

Ngô Viêt Trung, Giuseppe Valla

Publication date: 1988

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

Full work available at URL: https://eudml.org/doc/164413

zbMATH Keywords

degree bounds for the defining equationsarithmetically Cohen-Macaulay non-degenerate varietyCastelnuovo varietydefining prime ideal

Mathematics Subject Classification ID

Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal) (14M05) Complete intersections (14M10)

Related Items

Arithmetically Buchsbaum divisors on varieties of minimal degree, An algebraic approach to the regularity index of fat points in \(P^ n\), Castelnuovo's regularity and cohomological properties of sets of points in \({\mathbb{P}}^ n\), Castelnuovo's regularity and multiplicity, 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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• On equations defining arithmetically Cohen-Macaulay schemes. I
• On degree bounds for the defining equations of arithmetically Cohen-Macaulay and Buchsbaum varieties
• Reduction Exponent and Degree Bound for the Defining Equations of Graded Rings