IJPAM: Volume 85, No. 5 (2013)
TWO EXTREMAL BEHAVIORS
Department of Mathematics
University of Trento
38 123 Povo (Trento) - Via Sommarive, 14, ITALY
Abstract. Let Y ⊂ Pn be a reduced curve with < Y > = Pn, where < > denotes the linear span. For each P ∈ Pn the Y-rank rY(P) is the minimal cardinality of S ⊂ Y such that P ∈ < S >. Here we study two extremal behaviors: `` existence of P with rY(P)=n '' or `` rY(P) ≤ ⌈ (n+1)/2 ⌉ for all P ∈ Pn ''.
Received: March 29, 2013
AMS Subject Classification: 14H99, 14N05
Key Words and Phrases: X-rank, reducible curve, union of lines
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DOI: 10.12732/ijpam.v85i5.10 How to cite this paper?
Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395