Annihilators of Graded Components of the Canonical Module, and the Core of Standard Graded Algebras

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dc.creatorFouli, Louiza
dc.creatorPolini, Claudia
dc.creatorUlrich, Bernd
dc.date2009-03-19
dc.date.accessioned2026-07-07T12:54:45Z
dc.date.available2026-07-07T12:54:45Z
dc.descriptionWe relate the annihilators of graded components of the canonical module of a graded Cohen-Macaulay ring to colon ideals of powers of the homogeneous maximal ideal. In particular, we connect them to the core of the maximal ideal. An application of our results characterizes Cayley-Bacharach sets of points in terms of the structure of the core of the maximal ideal of their homogeneous coordinate ring. In particular, we show that a scheme is Cayley-Bacharach if and only if the core is a power of the maximal ideal.
dc.description21 pages, to appear in Transactions of the AMS
dc.identifierhttps://arxiv.org/abs/0903.3439
dc.identifierhttp://arxiv.org/abs/0903.3439
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/224044
dc.subjectCommutative Algebra
dc.subject13B21, 13A30, 13B22, 13C40
dc.titleAnnihilators of Graded Components of the Canonical Module, and the Core of Standard Graded Algebras
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