IJPAM: Volume 81, No. 6 (2012)
ON THE CONNECTED RANK FOR PROJECTIVE VARIETIES
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. We start the discussion of the following query. Let
be an integral and non-degenerate curve. For each
let
(resp.
, resp.
) be the minimal degree of a zero-dimensional (resp. zero-dimensional and connected, resp. zero-dimensional connected and curvilinear) scheme
such that
, where
denote the linear span. Compute the maximal integer
and
when
is arbitrary (resp. general) in
.
Received: October 14, 2012
AMS Subject Classification: 14N10, 14H45
Key Words and Phrases: symmetric tensor rank, connected rank, curvilinear scheme, cactus rank
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Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Year: 2012
Volume: 81
Issue: 6