On the postulation of s^d fat points in P^d

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dc.creatorEvain, Laurent
dc.date2004-07-08
dc.date.accessioned2026-07-07T05:10:06Z
dc.date.available2026-07-07T05:10:06Z
dc.descriptionIn connection with his counter-example to the fourteenth problem of Hilbert, Nagata formulated a conjecture concerning the postulation of r fat points of the same multiplicity in the projective plane and proved it when r is a square. Iarrobino formulated a similar conjecture in any projective space P^d. We prove Iarrobino's conjecture when r is a d-th power. As a corollary, we obtain new counter-examples modeled on those by Nagata.
dc.description14 pages
dc.identifierhttps://arxiv.org/abs/math/0407144
dc.identifierhttp://arxiv.org/abs/math/0407144
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/71826
dc.subjectAlgebraic Geometry
dc.subject14
dc.titleOn the postulation of s^d fat points in P^d
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