Annihilators of graded components of the canonical module, and the core of standard graded algebras

DOI10.1090/S0002-9947-2010-05056-1zbMath1210.13012arXiv0903.3439MaRDI QIDQ3065735

Claudia Polini, Bernd Ulrich, Louiza Fouli

Publication date: 6 January 2011

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0903.3439

zbMATH Keywords

core of an idealannihilators of graded components of \(\omega\)graded canonical module \(\omega\) of \(R\)homogeneous maximal idealStandard graded Cohen-Macaulay algebra \(R\) over a field

Mathematics Subject Classification ID

Linkage, complete intersections and determinantal ideals (13C40) Integral closure of commutative rings and ideals (13B22) Graded rings (13A02) Associated graded rings of ideals (Rees ring, form ring), analytic spread and related topics (13A30) Integral dependence in commutative rings; going up, going down (13B21)

Related Items (8)

Core of ideals in one-dimensional Noetherian domains ⋮ Core of ideals in integral domains ⋮ Reductions and cores of ideals in trivial ring extensions ⋮ A formula for the core of certain strongly stable ideals ⋮ Reductions and Core of Ideals in Integral Domains: Some Recent Developments ⋮ An application of liaison theory to zero-dimensional schemes ⋮ The Dedekind different of a Cayley–Bacharach scheme ⋮ A multiplicity bound for graded rings and a criterion for the Cohen-Macaulay property

Cites Work

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• Liaison and Castelnuovo-Mumford regularity
• Core versus graded core, and global sections of line bundles
• The structure of the core of ideals

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