IJPAM: Volume 85, No. 5 (2013)
LINEAR PROJECTIONS OF CURVES
Department of Mathematics
University of Trento
38 123 Povo (Trento) - Via Sommarive, 14, ITALY
Abstract. Let C ⊂ Pr be an integral and non-degenerate variety. The border rank (resp. scheme rank) of P ∈ Pr with respect to C is the minimal integer t such that P is contained in the t-secant variety of C (resp. P ∈ < Z >, where Z ⊂ X is a degree t subscheme and < > denote the linear span). In this note we study the behavior of the border rank and the scheme-rank under linear projections, when C is a linearly normal smooth curve.
Received: February 17, 2013
AMS Subject Classification: 14N05, 14H50
Key Words and Phrases: symmetric tensor rank, X-rank, cactus rank, secant variety, linearly normal curve
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DOI: 10.12732/ijpam.v85i5.6 How to cite this paper?
Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395