Castelnuovo-Mumford regularity of products of ideals

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dc.creatorConca, Aldo
dc.creatorHerzog, Juergen
dc.date2002-10-04
dc.date.accessioned2026-07-07T04:51:38Z
dc.date.available2026-07-07T04:51:38Z
dc.descriptionWe discuss the behavior of the Castelnuovo-Mumford regularity under certain operations on ideals and modules, like products or powers. In particular, we show that reg(IM) can be larger than reg(M)+reg(I) even when I is an ideal of linear forms and M is a module with a linear resolution. On the other hand, we show that any product of ideals of linear forms has a linear resolution. We also discuss the case of polymatroidal ideals and show that any product of determinantal ideals of a generic Hankel matrix has a linear resolution.
dc.description14 pages
dc.identifierhttps://arxiv.org/abs/math/0210065
dc.identifierhttp://arxiv.org/abs/math/0210065
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/65177
dc.subjectCommutative Algebra
dc.subject13D02
dc.titleCastelnuovo-Mumford regularity of products of ideals
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