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Preprints, Working Papers, ... Year : 2004

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

Abstract

In 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.
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Dates and versions

hal-00002187 , version 1 (08-07-2004)

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Laurent Evain. On the postulation of s^d fat points in P^d. 2004. ⟨hal-00002187⟩
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