Comparing Castelnuovo-Mumford regularity and extended degree: the borderline cases

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dc.creatorNagel, Uwe
dc.date2003-11-28
dc.date.accessioned2026-07-07T05:03:23Z
dc.date.available2026-07-07T05:03:23Z
dc.descriptionCastelnuovo-Mumford regularity and any extended degree function can be thought of as complexity measures for the structure of finitely generated graded modules. A recent result of Doering, Gunston, Vasconcelos shows that both can be compared in case of a graded algebra. We extend this result to modules and analyze when the estimate is in fact an equality. A complete classification is obtained if we choose as extended degree the homological or the smallest extended degree. The corresponding algebras are characterized in three ways: by relations among the algebra generators, by using generic initial ideals, and by their Hilbert series.
dc.identifierhttps://arxiv.org/abs/math/0311534
dc.identifierhttp://arxiv.org/abs/math/0311534
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/69398
dc.subjectCommutative Algebra
dc.subjectAlgebraic Geometry
dc.titleComparing Castelnuovo-Mumford regularity and extended degree: the borderline cases
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