The Dedekind different of a Cayley–Bacharach scheme

DOI10.1142/S0219498819500270MaRDI QIDQ5377478

Le Ngoc Long, Tran N. K. Linh, Martin Kreuzer

Publication date: 24 May 2019

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1704.03702

zbMATH Keywords

Hilbert functionalmost Gorensteinzero-dimensional schemeCayley-Bacharach schemeDedekind differentDedekind's formula

Mathematics Subject Classification ID

Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal) (14M05) Hilbert-Samuel and Hilbert-Kunz functions; Poincaré series (13D40) Projective techniques in algebraic geometry (14N05) Other special types of modules and ideals in commutative rings (13C13)

Related Items

The Kähler different of a 0-dimensional scheme ⋮ An application of liaison theory to zero-dimensional schemes ⋮ Nearly Gorenstein cyclic quotient singularities

Uses Software

• CoCoA
• ApCoCoA

Cites Work

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• The almost Gorenstein Rees algebras over two-dimensional regular local rings
• Almost Gorenstein homogeneous rings and their \(h\)-vectors
• Almost Gorenstein rings
• Characterizations of zero-dimensional complete intersections
• Trace ideals and centers of endomorphism rings of modules over commutative rings
• Graded syzygies
• On the Cayley-Bacharach property and the construction of vector bundles
• Zur Konstruktion von Weierstraßpunkten mit vorgegebener Halbgruppe
• One-dimensional almost Gorenstein rings
• Almost Gorenstein rings - towards a theory of higher dimension
• The trace of the canonical module
• Duality and socle generators for residual intersections
• Kähler differentials and Kähler differents for fat point schemes
• On the uniformity of zero-dimensional complete intersections
• Vollständige Durchschnitte und Differenzen
• Der kanonische Modul eines Cohen-Macaulay-Rings. (The canonical moduls of a Cohen-Macaulay-ring)
• Annihilators of graded components of the canonical module, and the core of standard graded algebras
• Cayley-Bacharach Schemes and Their Canonical Modules
• On Ramification Theory in Noetherian Rings
• On the Canonical Module of A 0-Dimensional Scheme
• On the Cayley-Bacharach Property
• Idealdifferentationen und Differente.
• The almost Gorenstein Rees algebras of parameters