Uniform bounds on multigraded regularity

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dc.creatorMaclagan, Diane
dc.creatorSmith, Gregory G.
dc.date2003-05-15
dc.date.accessioned2026-07-07T04:58:02Z
dc.date.available2026-07-07T04:58:02Z
dc.descriptionWe give an effective uniform bound on the multigraded regularity of a subscheme of a smooth projective toric variety X with a given multigraded Hilbert polynomial. To establish this bound, we introduce a new combinatorial tool, called a Stanley filtration, for studying monomial ideals in the homogeneous coordinate ring of X. As a special case, we obtain a new proof of Gotzmann's regularity theorem. We also discuss applications of this bound to the construction of multigraded Hilbert schemes.
dc.description23 pages, 2 figures
dc.identifierhttps://arxiv.org/abs/math/0305215
dc.identifierhttp://arxiv.org/abs/math/0305215
dc.identifierJournal of Algebraic Geometry, 14 (2005) 137-164.
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/67472
dc.subjectAlgebraic Geometry
dc.subjectCommutative Algebra
dc.subjectCombinatorics
dc.subject14M25; 14Q20; 13P10
dc.titleUniform bounds on multigraded regularity
dc.typetext

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