An upper bound for the Waring rank of a form
Commutative Algebra
2013-05-31 v1 Algebraic Geometry
Abstract
In this paper we introduce the open Waring rank of a form of degree d in n variables and prove the that this rank in bounded from above by \binom{n+d-2}{d-1} - \binom{n+d-6}{d-3} whenever n, d >= 3. This proves the same upper bound for the classical Waring rank of a form, improving the result of [BBS] and giving, as far as we know, the best upper bound known.
Cite
@article{arxiv.1305.6957,
title = {An upper bound for the Waring rank of a form},
author = {Joachim Jelisiejew},
journal= {arXiv preprint arXiv:1305.6957},
year = {2013}
}
Comments
6 pages