Upper bounds for the degrees of the equations defining locally Cohen- Macaulay schemes

DOI10.1007/BF01457277zbMath0634.14029OpenAlexW2052200606MaRDI QIDQ1096690

Paolo Maroscia, Jürgen Stückrad, Wolfgang Vogel

Publication date: 1987

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

Full work available at URL: https://eudml.org/doc/164234

zbMATH Keywords

local cohomology modulesCohen-Macaulay schemesdegree bounds for the defining equations

Mathematics Subject Classification ID

Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal) (14M05) Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.) (13H10) Complete intersections (14M10) Local cohomology and algebraic geometry (14B15)

Related Items (4)

Castenuovo bounds for certain subvarieties in \({\mathbb{P}}^ n\) ⋮ Castelnuovo's regularity and cohomological properties of sets of points in \({\mathbb{P}}^ n\) ⋮ Castelnuovo's regularity and multiplicity ⋮ Buchsbaum subvarieties of codimension 2 in 𝐏ⁿ

Cites Work

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• Bounds for the minimum numbers of generators of generalized Cohen- Macaulay ideals
• On a theorem of Castelnuovo, and the equations defining space curves
• On the structure of arithmetically Buchsbaum curves in \(P^ 3_ k\)
• On the complexity of computing syzygies
• On equations defining arithmetically Cohen-Macaulay schemes. II
• On equations defining arithmetically Cohen-Macaulay schemes. I
• Liaison des variétés algébriques. I
• Die Sätze von Bertini für lokale Ringe

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