The geometric interpretation of Froberg-Iarrobino conjectures on infinitesimal neighbourhoods of points in projective space

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dc.creatorChandler, Karen A.
dc.date2003-09-19
dc.date.accessioned2026-07-07T05:01:19Z
dc.date.available2026-07-07T05:01:19Z
dc.descriptionThe study of infinitesimal deformations of a variety embedded in projective space requires that of deformations of a collection of points, as specified by a zero-dimensional scheme. Further, basic problems in infinitesimal interpolation correspond directly to the analysis of such a scheme We interpret conjectures of Froberg and Iarrobino on the Hilbert function of a general collection of infinitesimal neighbourhoods of a collection of points in projective space. A main result gives a method for verifying the Weak Conjecture prescribed. Further, we present results on establishing the Strong Conjecture, but also exhibit families of counterexamples, showing the need for refinement of these conjectures.
dc.description40 pages
dc.identifierhttps://arxiv.org/abs/math/0309333
dc.identifierhttp://arxiv.org/abs/math/0309333
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/68626
dc.subjectAlgebraic Geometry
dc.subjectCommutative Algebra
dc.subject14N10, 13D40
dc.titleThe geometric interpretation of Froberg-Iarrobino conjectures on infinitesimal neighbourhoods of points in projective space
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