Curvilinear schemes and maximum rank of forms
Résumé
We define the \emph{curvilinear rank} of a degree $d$ form $P$ in $n+1$ variables as the minimum length of a curvilinear scheme, contained in the $d$-th Veronese embedding of $\mathbb{P}^n$, whose span contains the projective class of $P$. Then, we give a bound for rank of any homogenous polynomial, in dependance on its curvilinear rank.
Domaines
Géométrie algébrique [math.AG]Origine | Fichiers produits par l'(les) auteur(s) |
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