Hilbert functions and resolutions for ideals of n = s^2 fat points in P2
Algebraic Geometry
2007-05-23 v1 Commutative Algebra
Abstract
Conjectures for the Hilbert function of the m-th symbolic power of the ideal of n general points of P2 are verified for infinitely many m for each square n > 9, using an approach developed by the authors in a previous paper. In those cases that n is even, conjectures for the resolution are also verified. Previously, by work of Evain (for the Hilbert function) and of Harbourne, Holay and Fitchett (for the resolution), these conjectures were known for infinitely many m for a given n > 9 only for n being a power of 4.
Keywords
Cite
@article{arxiv.math/0104254,
title = {Hilbert functions and resolutions for ideals of n = s^2 fat points in P2},
author = {Brian Harbourne and Joaquim Roé},
journal= {arXiv preprint arXiv:math/0104254},
year = {2007}
}
Comments
10 pages, 4 color postscript graphics