Resolutions of ideals of six fat points in P^2
arXiv:math/0506611 · doi:10.1016/j.jalgebra.2007.09.018
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.
21 pp., final version