Duality and socle generators for residual intersections

DOI10.1515/crelle-2017-0045zbMath1425.13009arXiv1309.2050OpenAlexW2963104505MaRDI QIDQ2332789

David Eisenbud, Bernd Ulrich

Publication date: 5 November 2019

Published in: Journal für die Reine und Angewandte Mathematik (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1309.2050

zbMATH Keywords

Gorenstein ringJacobian determinantresidual intersectionsoclelinkageRees ringconjectures of van Straten and WarmtDedekind complementary module

Mathematics Subject Classification ID

Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.) (13H10) Linkage, complete intersections and determinantal ideals (13C40)

Related Items (8)

The Kähler different of a 0-dimensional scheme ⋮ Residual intersections and linear powers ⋮ Algebraic \(K\)-theory. Abstracts from the workshop held May 8--14, 2022 ⋮ On quadratically enriched excess and residual intersections ⋮ The Dedekind different of a Cayley–Bacharach scheme ⋮ The ReesAlgebra package in Macaulay2 ⋮ Cohen–Macaulayness and canonical module of residual intersections ⋮ Residual intersections are Koszul–Fitting ideals

Uses Software

• Macaulay2

Cites Work

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• The local cohomology of the Jacobian ring
• A Nullstellensatz with nilpotents and Zariski's Main Lemma on holomorphic functions
• Approximation complexes of blowing-up rings. II
• Jacobian ideals and a theorem of Briancon-Skoda
• The Koszul algebra of a codimension 2 embedding
• Approximation complexes of blowing-up rings
• Liaison des variétés algébriques. I
• Generic free resolutions and a family of generically perfect ideals
• What annihilates a module?
• Die Sätze von Bertini für lokale Ringe
• Generating modules efficiently: Theorems from algebraic K-theory
• Über homologische Invarianten lokaler Ringe
• Local Euler characteristics
• Residual intersections and the annihilator of Koszul homologies
• Cohen-Macaulay residual intersections and their Castelnuovo-Mumford regularity
• Residual intersections.
• Strongly Cohen-Macaulay Schemes and Residual Intersections
• Regular Differential Forms
• Linkage and the Koszul Homology of Ideals
• Cohen–Macaulayness and canonical module of residual intersections
• Ideals with sliding depth
• Gorenstein-duality for one-dimensional almost complete intersections-with an application to non-isolated real singularities
• A Note on Gorenstein Rings of Embedding Codimension Three
• Idealdifferentationen und Differente.
• Residual intersections in Cohen-Macaulay rings

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