On the behavior of Castelnuovo-Mumford regularity with respect to some functors

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dc.creatorChardin, Marc
dc.date2007-06-19
dc.date.accessioned2026-07-07T08:11:02Z
dc.date.available2026-07-07T08:11:02Z
dc.descriptionWe investigate the behavior of Castelnuovo-Mumford regularity with respect to some classical functors : Tor, the Frobenius functor in positive characteristic, taking a power or a product (on ideals). These generalizes and refines previous results on these issues by several authors. As an application we provide results on the regularity of an intersection of subschemes of a projective scheme, under appropriate geometric hypotheses. Results on the rigidity of multiple Tor modules and on the characterization of their vanishing are given, motivated by geometric applications.
dc.identifierhttps://arxiv.org/abs/0706.2731
dc.identifierhttp://arxiv.org/abs/0706.2731
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/131997
dc.subjectCommutative Algebra
dc.subjectAlgebraic Geometry
dc.subject13D02; 13D07; 13D25; 13D45
dc.titleOn the behavior of Castelnuovo-Mumford regularity with respect to some functors
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