Resolutions of ideals of six fat points in P^2
Algebraic Geometry
2012-04-16 v2 Commutative Algebra
Abstract
The graded Betti numbers of the minimal free resolution (and also therefore the Hilbert function) of the ideal of a fat point subscheme Z of P^2 are determined whenever Z is supported at any 6 or fewer distinct points. All results hold over an algebraically closed field k of arbitrary characteristic.
Cite
@article{arxiv.math/0506611,
title = {Resolutions of ideals of six fat points in P^2},
author = {E. Guardo and B. Harbourne},
journal= {arXiv preprint arXiv:math/0506611},
year = {2012}
}
Comments
21 pp., final version