Waring decompositions of monomials

Abstract

A Waring decomposition of a polynomial is an expression of the polynomial as a sum of powers of linear forms, where the number of summands is minimal possible. We prove that any Waring decomposition of a monomial is obtained from a complete intersection ideal, determine the dimension of the set of Waring decompositions, and give the conditions under which the Waring decomposition is unique up to scaling the variables.

v2: Improved exposition. v3: Final version; minor changes only. 13 pages

References in corpus (1)

• The Solution to Waring's Problem for Monomials

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