Resolutions of ideals of six fat points in P^2

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

References in corpus (4)

• Anticanonical Rational Surfaces
• Free Resolutions of Fat Point Ideals on $P^2$
• Problems and progress: survey on fat points in P2
• Linear systems with multiple base points in P2

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• Classifying Hilbert functions of fat point subschemes in ${\mathbb{P}}^2$
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• The module of Valabrega-Valla of the Jacobian ideal of points in projective plane