IJPAM: Volume 70, No. 5 (2011)
A PRESCRIBED NUMBER OF SUBSETS
COMPUTING THEIR -RANK
Department of Mathematics
University of Trento
38 123 Povo (Trento) - Via Sommarive, 14, ITALY
e-mail: [email protected]
Abstract. Let be an integral non-degenerate subvariety. For any the -rank of is the minimal cardinality of a set such that . Let be the set of all computing the -rank of . Here we construct smooth curves and such that is a prescribed integer.
Received: December 11, 2010
AMS Subject Classification: 14N05
Key Words and Phrases: ranks, -rank, border rank, secant variety
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Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395