IJPAM: Volume 69, No. 1 (2011)
LINEAR PROJECTIONS OF
SMOOTH CURVES OVER A FINITE FIELD
SMOOTH CURVES OVER A FINITE FIELD
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 a smooth curve defined over
with degree
and genus
. Here we give conditions on
which assures the existence of an isomorphic linear projection into
(case
) or a birational projection into
with only double points and defined over
.
Received: December 18, 2010
AMS Subject Classification: 14H50, 14N05, 14Q05, 11T99
Key Words and Phrases: linear projection, smooth space curve, finite field
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Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Year: 2011
Volume: 69
Issue: 1