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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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Preprints, Working Papers, ...
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Contributor : Laurent Evain Connect in order to contact the contributor
Submitted on : Thursday, July 8, 2004 - 5:27:51 PM
Last modification on : Wednesday, October 20, 2021 - 3:18:38 AM
Long-term archiving on: : Monday, March 29, 2010 - 9:22:27 PM




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



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