IJPAM: Volume 82, No. 5 (2013)
CHARACTERIZATION OF RATIONAL NORMAL CURVES
Department of Mathematics
University of Trento
38 123 Povo (Trento) - Via Sommarive, 14, ITALY
Abstract. Fix positive integers , , such that and , where . Let be an integral and non-degenerate curve. For any the -rank of is the minimal cardinality of a set such that . We prove that is not a rational normal curve if and only if the following condition holds: fix general points and set ; then there is some such that for any and .
Moreover, if is not a rational normal curve and we fix a finite set , then we may find a set
Received: December 14, 2012
AMS Subject Classification: 14H50, 14N05
Key Words and Phrases: -rank, rational normal curve
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DOI: 10.12732/ijpam.v82i5.10 How to cite this paper?
Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395