IJPAM: Volume 65, No. 2 (2010)
A CONJECTURE ON THE RANK OF NON-GENERAL
POINTS OF SECANT VARIETIES OF VERONESE
EMBEDDINGS OF PROJECTIVE SPACES
POINTS OF SECANT VARIETIES OF VERONESE
EMBEDDINGS OF PROJECTIVE SPACES
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 conjecture that for certain secant varieties
a hypersurface of it has points of symmetric tensor rank
. We look at the corresponding conjecture for curves.
Received: September 23, 2010
AMS Subject Classification: 14N05
Key Words and Phrases: symmetric tensor rank, Veronese variety, -rank, Veronese embedding
Source: International Journal of Pure and Applied Mathematics
ISSN: 1311-8080
Year: 2010
Volume: 65
Issue: 2