On the minimal free resolution for fat point schemes of multiplicity at most 3 in P^2

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dc.creatorBallico, Edoardo
dc.creatorIdà, Monica
dc.date2007-10-08
dc.date.accessioned2026-07-07T08:34:46Z
dc.date.available2026-07-07T08:34:46Z
dc.descriptionLet Z be a fat point scheme in P^2 supported on general points. Here we prove that if the multiplicities are at most 3 and the length of Z is sufficiently high then the number of generators of the homogeneous ideal I_Z in each degree is as small as numerically possible. Since it is known that Z has maximal Hilbert function, this implies that Z has the expected minimal free resolution.
dc.description18 pages
dc.identifierhttps://arxiv.org/abs/0710.1588
dc.identifierhttp://arxiv.org/abs/0710.1588
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/139553
dc.subjectAlgebraic Geometry
dc.subjectCommutative Algebra
dc.subject14N05
dc.titleOn the minimal free resolution for fat point schemes of multiplicity at most 3 in P^2
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