IJPAM: Volume 97, No. 2 (2014)
DEVELOPABLE OF A CURVE IN A PROJECTIVE SPACE
Department of Mathematics
University of Trento
38 123 Povo (Trento) - Via Sommarive, 14, ITALY
Abstract. Let be a smooth curve. For any the -rank of is the minimal cardinality of a set such that , where denote the linear span. Let be the tangent developable of . We compute upper bounds for the -rank of all or of the general , mainly if is a canonically embedded curve. To do that we define some invariants for the pair and compute them if is canonically embedded and either is a smooth plane curve or it has general moduli.
Received: August 6, 2014
AMS Subject Classification: 14N05, 14H52
Key Words and Phrases: tangential developable, -rank, canonical model, smooth plane curve
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DOI: 10.12732/ijpam.v97i2.14 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: 253 - 262
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