Base loci of linear systems and the Waring problem

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Waring 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.
7 pages, AMSLaTeX2e

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Algebraic Geometry, 14J70; 14N05;14E05

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http://salesiana.dossiersoluciones.com/handle/123456789/141171

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0710.5876
 http://arxiv.org/abs/0710.5876

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arXiv