The Dimension of Quasi-Homogeneous Linear Systems With Multiplicity Four

dc.creatorSeibert, James
dc.date1999-05-12
dc.date.accessioned2026-07-07T05:29:03Z
dc.date.available2026-07-07T05:29:03Z
dc.descriptionA linear system of plane curves satisfying multiplicity conditions at points in general position is called special if the dimension is larger than the expected dimension. A (-1) curve is an irreducible curve with self intersection -1 and genus zero. The Harbourne-Hirschowitz Conjecture is that a linear system is special only if a multiple of some fixed (-1) curve is contained in every curve of the linear system. This conjecture is proven for linear systems with multiplicity four at all but one of the points.
dc.description21 pages, Latex2e
dc.identifierhttps://arxiv.org/abs/math/9905076
dc.identifierhttp://arxiv.org/abs/math/9905076
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/78494
dc.subjectAlgebraic Geometry
dc.titleThe Dimension of Quasi-Homogeneous Linear Systems With Multiplicity Four
dc.typetext

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