IJPAM: Volume 78, No. 3 (2012)
SMOOTH SPACE CURVES, II
Department of Mathematics
University of Trento
38 123 Povo (Trento) - Via Sommarive, 14, ITALY
Abstract. Let be smooth curve and . We say that the linear projection of from is cuspidal if for every line through , i.e. if is birational onto its image and has only unibranch singularities. Here we construct two large classes of curves (lying in quadric surfaces) with at least one cuspidal projection. We also consider inner cuspidal projections (from points of ) and the -rank of lines.
Received: March 22, 2012
AMS Subject Classification: 14N05
Key Words and Phrases: space curve, cuspidal projection, linear projection, inner projection
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Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395