A note on the Waring ranks of reducible cubic forms

Abstract

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

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

Cited by in corpus (1)

• Geometric lower bounds for generalized ranks