Waring-like decompositions of polynomials - 1

Abstract

Let $F$ be a homogeneous form of degree $d$ in $n$ variables. A Waring decomposition of $F$ is a way to express $F$ as a sum of $d^{th}$ powers of linear forms. In this paper we consider the decompositions of a form as a sum of expressions, each of which is a fixed monomial evaluated at linear forms.

12 pages; Section 5 added in this version

References in corpus (2)

• On degeneration of tensors and algebras
• Secant Varieties of the Varieties of Reducible Hypersurfaces in ${\mathbb{P}}^n$

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