Resolutions of fat point ideals involving 8 general points of P2

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The main result provides an algorithm for determining the minimal free resolution of ideals of fat point subschemes of ${\bf P}^2$ involving up to 8 general points with arbitrary multiplicities; the results hold over algebraically closed fields of any characteristic. The algorithm, which works by giving a formula in certain cases and a reduction to these cases otherwise, does not involve Gröbner bases, and so is very fast, even for very large multiplicities. Partial information is also obtained in certain cases with $n>8$.
12 pages PlainTeX

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Algebraic Geometry, Commutative Algebra, 13P10, 14C99

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http://salesiana.dossiersoluciones.com/handle/123456789/60748

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0101110
 http://arxiv.org/abs/math/0101110

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arXiv