In this paper we prove some upper bounds for the symmetric tensor rank of a symmetric tensor (or a homogeneous polynomial) in terms of integers associated to any zero-dimensional scheme evincing the scheme rank of the homogeneous polynomial.
Cite this article
Edoardo Ballico, Multiple points, scheme rank and symmetric tensor rank. Port. Math. 70 (2013), no. 3, pp. 243–250DOI 10.4171/PM/1933