Multiple points, scheme rank and symmetric tensor rank

  • Edoardo Ballico

    Università di Trento, Italy

Abstract

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. 243–250

DOI 10.4171/PM/1933