Resolutions of ideals of six fat points in P^2

Details Resolutions of ideals of six fat points in P^2 Resolutions of ideals of six fat points in P^2

2005-06-30

arxiv.org/abs/math/0506611v2

Journal of Algebra, 318, (2007), pp 619-640

Mathematics

Algebraic Geometry

21 pp., final version

Scientific paper

10.1016/j.jalgebra.2007.09.018

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.

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