Base loci of linear systems and the Waring problem

Details Base loci of linear systems and the Waring problem Base loci of linear systems and the Waring problem

2007-10-31

arxiv.org/abs/0710.5876v1

Mathematics

Algebraic Geometry

7 pages, AMSLaTeX2e

Scientific paper

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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