IJPAM: Volume 96, No. 1 (2014)
BY THE -RANK FOR A CERTAIN CONFIGURATION
OF RATIONAL NORMAL CURVES
Department of Mathematics
University of Trento
38 123 Povo (Trento) - Via Sommarive, 14, ITALY
Abstract. Let , , , denote the Veronese embedding. Fix and let be the union of lines of passing through and with , where denote the linear span ( is an angle or a coordinate frame). Set . In this note we study the stratification by -rank of . We give a sharp upper bound for this rank, prove a concision result (in a precise quantitative way) and study some cases with high rank.
Received: July 8, 2014
AMS Subject Classification: 14N05
Key Words and Phrases: symmetric tensor rank, reducible curve, border rank, rational normal curve
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DOI: 10.12732/ijpam.v96i1.8 How to cite this paper?
Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Pages: 105 - 115
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