IJPAM: Volume 67, No. 2 (2011)
HOMOGENEOUS POLYNOMIALS WITH TWO SETS
COMPUTING THEIR SYMMETRIC TENSOR RANK
COMPUTING THEIR SYMMETRIC TENSOR RANK
E. Ballico
Department of Mathematics
University of Trento
38 123 Povo (Trento) - Via Sommarive, 14, ITALY
e-mail: ballico@science.unitn.it
Department of Mathematics
University of Trento
38 123 Povo (Trento) - Via Sommarive, 14, ITALY
e-mail: ballico@science.unitn.it
Abstract. Let
be the order
Veronese embedding of
. Here we classify points
with symmetric rank
and whose symmetric rank is computed by at least
sets
such that no
of the points of
are collinear. In these cases the symmetric rank is computed by an infinite (and one-dimensional) family of subsets of
.
Received: August 8, 2010
AMS Subject Classification: 14N05
Key Words and Phrases: rsymmetric tensor rank, Veronese variety
Source: International Journal of Pure and Applied Mathematics
ISSN: 1311-8080
Year: 2011
Volume: 67
Issue: 2