Gaps in the pairs (border rank, symmetric rank) for symmetric tensors

E. Ballico
2013 Sarajevo Journal of Mathematics  
Fix integers m ≥ 2, s ≥ 5 and d ≥ 2s + 2. Here we describe the possible symmetric tensor ranks ≤ 2d+s−7 of all symmetric tensors (or homogeneous degree d polynomials) in m + 1 variables with border rank s. 2010 Mathematics Subject Classification. 14N05, 15A69, 15A21.
doi:10.5644/sjm.09.2.02 fatcat:uolg6tcrhnhp5i7n34uq7b3fr4