English

A note on the Waring ranks of reducible cubic forms

Algebraic Geometry 2014-12-18 v3 Commutative Algebra

Abstract

Let W3(n)W_3(n) be the set of Waring ranks of reducible cubic forms in n+1n+1 variables. We prove that W3(n){1,...,2n+1}W_3(n)\subseteq \lbrace 1,..., 2n+1\rbrace.

Keywords

Cite

@article{arxiv.1305.5394,
  title  = {A note on the Waring ranks of reducible cubic forms},
  author = {Emanuele Ventura},
  journal= {arXiv preprint arXiv:1305.5394},
  year   = {2014}
}

Comments

6 pages, errors and typos corrected. The conjecture here is proven in a forthcoming paper