53 citations · 273 across the 39 of their papers we have counts for
3 papers · 2 filters
On the cactus rank of cubics forms
Alessandra Bernardi, Kristian Ranestad
We prove that the smallest degree of an apolar 0-dimensional scheme of a general cubic form in variables is at most , when , and therefore smaller than the ran…
Algebraic boundaries of Hilbert's SOS cones
Grigoriy Blekherman, Jonathan Hauenstein, John Christian Ottem +2
We study the geometry underlying the difference between non-negative polynomials and sums of squares. The hypersurfaces that discriminate these two cones for ternary sextics and qu…
On the rank of a symmetric form
Kristian Ranestad, Frank-Olaf Schreyer
We give a lower bound for the degree of a finite apolar subscheme of a symmetric form F, in terms of the degrees of the generators of the annihilator ideal of F. In the special cas…