On the Castelnuovo-Mumford regularity of ideals, in dimension 2

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dc.creatorChardin, Marc
dc.creatorFall, Amadou Lamine
dc.date2005-03-31
dc.date.accessioned2026-07-07T05:18:41Z
dc.date.available2026-07-07T05:18:41Z
dc.descriptionWe give a bound on the Castelnuovo-Mumford regularity of a homogeneous ideals I, in a polynomial ring A, in terms of number of variables and the degrees of generators, when the dimension of A/I is at most two. This bound improves the one obtained by Caviglia and Sbarra in this case. In the continuation of the examples constructed by Clare D'Cruz and the first author, we use families of monomial curves to construct homogeneous ideals showing that these bounds are quite sharp.
dc.description5 pages
dc.identifierhttps://arxiv.org/abs/math/0503740
dc.identifierhttp://arxiv.org/abs/math/0503740
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/74748
dc.subjectCommutative Algebra
dc.subjectAlgebraic Geometry
dc.subject13D02; 14Q05; 14Q20; 13C40; 14H50; 13P10
dc.titleOn the Castelnuovo-Mumford regularity of ideals, in dimension 2
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