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Resolutions of ideals of any six fat points in |
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| Authors: | P |
| Institution: | aDipartimento di Matematica e Informatica, Viale A. Doria 6, 95100 Catania, Italy;bDepartment of Mathematics, University of Nebraska-Lincoln, Lincoln, NE 68588-0130, USA |
| 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 P2 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. |
| Keywords: | Fat points Free resolution Cubic surface Matroid Hilbert function |
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