Resolutions of fat point ideals involving 8 general points of P2

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dc.creatorFitchett, Stephanie
dc.creatorHarbourne, Brian
dc.creatorHolay, Sandeep
dc.date2001-01-12
dc.date.accessioned2026-07-07T04:39:38Z
dc.date.available2026-07-07T04:39:38Z
dc.descriptionThe 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 $n>8$.
dc.description12 pages PlainTeX
dc.identifierhttps://arxiv.org/abs/math/0101110
dc.identifierhttp://arxiv.org/abs/math/0101110
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/60748
dc.subjectAlgebraic Geometry
dc.subjectCommutative Algebra
dc.subject13P10, 14C99
dc.titleResolutions of fat point ideals involving 8 general points of P2
dc.typetext

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