IJPAM: Volume 60, No. 1 (2010)
CUSPIDAL PROJECTIONS OF SPACE CURVES
E. Ballico
Department of Mathematics
University of Trento
38 123 Povo (Trento) - Via Sommarive, 14, ITALY
e-mail: ballico@science.unitn.it
Department of Mathematics
University of Trento
38 123 Povo (Trento) - Via Sommarive, 14, ITALY
e-mail: ballico@science.unitn.it
Abstract.Let
be an integral and non-degenerate curve. A point
is said to give a cuspidal projection of
if the linear projection from
induces an injective map
. Here we produce two classes of pairs
with
inducing a cuspidal projection of
. In the second class (only in positive characteristic)
is contained in a smooth quadric surface
and we may take as
any point of
.
Received: January 14, 2010
AMS Subject Classification: 14H50
Key Words and Phrases: space curve, cuspidal projection, -rank
Source: International Journal of Pure and Applied Mathematics
ISSN: 1311-8080
Year: 2010
Volume: 60
Issue: 1