On the postulation of s^d fat points in P^d
Evain, Laurent
HAL, hal-00002187 / Harvested from HAL
Text on HAL
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.
Publié le : 2004-07-08
Classification:  14,  [MATH.MATH-AG]Mathematics [math]/Algebraic Geometry [math.AG] 
@article{hal-00002187,
     author = {Evain, Laurent},
     title = {On the postulation of s^d fat points in P^d},
     journal = {HAL},
     volume = {2004},
     number = {0},
     year = {2004},
     language = {en},
     url = {http://dml.mathdoc.fr/item/hal-00002187}
}

Evain, Laurent. On the postulation of s^d fat points in P^d. HAL, Tome 2004 (2004) no. 0, . http://gdmltest.u-ga.fr/item/hal-00002187/