Beiträge zur Algebra und Geometrie
Contributions to Algebra and Geometry
Vol. 49, No. 1, pp. 247-252 (2008)
Stanley filtrations and strongly stable ideals
Kristina CronaMatematiska institutionen, Stockholms universitet, SE-10691 Stockholm, e-mail: firstname.lastname@example.org
Abstract: We give a new short proof of the fact that the Castelnuovo-Mumford regularity of a strongly stable ideal is the highest degree of a minimal monomial generator. Our proof depends on results due to D. Maclagan and G. Smith on multigraded regularity. More precisely, we construct a Stanley filtration for strongly stable ideals which provides a bound for the Castelnuovo-Mumford regularity.
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Electronic version published on: 26 Feb 2008. This page was last modified: 28 Jan 2013.