Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
9493317 | Journal of Algebra | 2005 | 15 Pages |
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 P2 and proved it when r is a square. Iarrobino formulated a similar conjecture in Pd. We prove Iarrobino's conjecture when r is a dth power. As a corollary, we obtain new counter-examples modeled on those by Nagata.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Laurent Evain,