IJPAM: Volume 91, No. 3 (2014)
PROJECTIVE SETS: A CLASSIFICATION
OF AN EXTREMAL CASE
Department of Mathematics
University of Trento
38 123 Povo (Trento) - Via Sommarive, 14, ITALY
Abstract. Let , , be a reduced projective set such that , where denote the linear span of . For any the -widerank of is the minimal integer such that for each closed set containing no irreducible component of there is with . Here we classify all such that for a general ( is odd and is the union of linearly independent lines). We give conditions on which imply that (or ) for every .
Received: December 20, 2013
AMS Subject Classification: 14N05, 14Q05, 15A69
Key Words and Phrases: widerank, open rank, symmetric tensor rank, reducible varieties, lines, strange variety
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DOI: 10.12732/ijpam.v91i3.12 How to cite this paper?
Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395