Showing 1219–1232 of 26,903 results for "Érika Akemi Tsujiguchi Bernardi"

Journals 2024 EN

On the cactus rank of cubics forms

Alessandra Bernardi · Kristian Ranestad

We prove that the smallest degree of an apolar 0-dimensional scheme of ageneral cubic form in $n+1$ variables is at most $2n+2$, when $n\geq 8$, andtherefore smaller than the rank of the form. For the general reducible cubicform the smallest degree of an apolar subscheme is $n+2$, while the rank is atleast $2n$.

Elsevier BV