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arXiv · 0710.5876

Base loci of linear systems and the Waring problem

M. Mella
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Abstract

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.

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M. Mella. 2007-10-31. Base loci of linear systems and the Waring problem. https://arxiv.org/abs/0710.5876

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