The geometry of Hilbert functions

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dc.creatorMigliore, Juan C.
dc.date2005-02-07
dc.date.accessioned2026-07-07T05:16:47Z
dc.date.available2026-07-07T05:16:47Z
dc.descriptionWe compare and contrast results of E. Davis, of A. Bigatti, A.V. Geramita and the author, and of J. Ahn and the author. The underlying idea is that certain numerical conditions on the Hilbert function of a finite set of points in projective space force geometric consequences on the base loci of the linear systems of hypersurfaces containing the points. When the points have uniform position, this tends to force better behavior for these base loci. However, unexpected behavior is still possible, and we give examples.
dc.description27 pages; expository paper
dc.identifierhttps://arxiv.org/abs/math/0502145
dc.identifierhttp://arxiv.org/abs/math/0502145
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/74114
dc.subjectCommutative Algebra
dc.subjectAlgebraic Geometry
dc.subject13D40; 14M05; 14C20
dc.titleThe geometry of Hilbert functions
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