Waring decompositions of monomials
Algebraic Geometry
2013-02-01 v3
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.
Cite
@article{arxiv.1201.2922,
title = {Waring decompositions of monomials},
author = {Weronika Buczyńska and Jarosław Buczyński and Zach Teitler},
journal= {arXiv preprint arXiv:1201.2922},
year = {2013}
}
Comments
v2: Improved exposition. v3: Final version; minor changes only. 13 pages