Singularities 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 paper I answer this question when the degree of $f$ is greater than the number of variables. To do this I translate the algebraic statement into a geometric one concerning the singularities of linear systems of $P^n$ with assigned singularities.
15 pages AmsLaTeX2e

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Algebraic Geometry, 14J70;14N05;14E05

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http://salesiana.dossiersoluciones.com/handle/123456789/71556

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0406288
 http://arxiv.org/abs/math/0406288

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arXiv