Base loci of linear systems and the Waring problem

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dc.creatorMella, M.
dc.date2007-10-31
dc.date.accessioned2026-07-07T08:39:43Z
dc.date.available2026-07-07T08:39:43Z
dc.descriptionWaring problem for homogeneus forms asks for additive decomposition of a form $f$ into powers of linear forms. A classical problem is to determine when such a decomposition is unique. In this note I refine the work in arXiv:math/0406288v1 and answer this question under a divisibility assumption. To do this I translate the algebraic statement into a geometric one concerning the base loci of linear systems of $P^n$ with assigned singularities.
dc.description7 pages, AMSLaTeX2e
dc.identifierhttps://arxiv.org/abs/0710.5876
dc.identifierhttp://arxiv.org/abs/0710.5876
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/141171
dc.subjectAlgebraic Geometry
dc.subject14J70; 14N05;14E05
dc.titleBase loci of linear systems and the Waring problem
dc.typetext

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