Maximum Waring ranks of monomials
Algebraic Geometry
2014-06-02 v3
Abstract
We show that monomials and sums of pairwise coprime monomials in four or more variables have Waring rank less than the generic rank, with a short list of exceptions. We asymptotically compare their ranks with the generic rank.
Keywords
Cite
@article{arxiv.1309.7834,
title = {Maximum Waring ranks of monomials},
author = {Erik Holmes and Paul Plummer and Jeremy Siegert and Zach Teitler},
journal= {arXiv preprint arXiv:1309.7834},
year = {2014}
}
Comments
9 pages. v2: Conjecture 4 is now Theorem 3. v3: Shortened exposition; restored discussion of non-monomial examples