IJPAM: Volume 65, No. 1 (2010)
A FINITENESS RESULT ON THE SETS
COMPUTING
-RANK AND SPANNING
A PRESCRIBED LINEAR SPACE
COMPUTING

A PRESCRIBED LINEAR SPACE
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 an integral and non-degenerate variety defined over an algebraically closed field
such that
. For each
the
-rank
of
is the minimal cardinality of a set
such that
. Let
denote the set of all subsets
such that
and
. Let
the subset of the Grassmannian
parametrizing all linear spaces
,
. For each
set
. Here we prove that every
is finite.
Received: September 23, 2010
AMS Subject Classification: 14N05
Key Words and Phrases: -rank, symmetric tensor rank
Source: International Journal of Pure and Applied Mathematics
ISSN: 1311-8080
Year: 2010
Volume: 65
Issue: 1