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.
Type de document :
Pré-publication, Document de travail
14 pages. 2004
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https://hal.archives-ouvertes.fr/hal-00002187
Contributeur : Laurent Evain <>
Soumis le : jeudi 8 juillet 2004 - 17:27:51
Dernière modification le : lundi 5 février 2018 - 15:00:03
Document(s) archivé(s) le : lundi 29 mars 2010 - 21:22:27

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Laurent Evain. On the postulation of s^d fat points in P^d. 14 pages. 2004. 〈hal-00002187〉

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