Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
401576 | Journal of Symbolic Computation | 2013 | 7 Pages |
Abstract
We prove that the smallest degree of an apolar 0-dimensional scheme of a general cubic form in n+1 variables is at most 2n+2, when n⩾8, and therefore smaller than the rank of the form. For the general reducible cubic form the smallest degree of an apolar subscheme is n+2, while the rank is at least 2n.
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