IJPAM: Volume 78, No. 8 (2012)
NON-LINEARLY NORMAL SPECIAL CURVES
WITH MAXIMAL RANK IN
WITH MAXIMAL RANK IN

E. Ballico
Department of Mathematics
University of Trento
38 123 Povo (Trento) - Via Sommarive, 14, ITALY
Department of Mathematics
University of Trento
38 123 Povo (Trento) - Via Sommarive, 14, ITALY
Abstract. Fix integers such that
and
. Let
be a general smooth curve with genus
, degree
and
(such a curve is not linearly normal). In this paper we prove that
has maximal rank, i.e.
for all
.
Received: March 28, 2012
AMS Subject Classification: 14H51, 4N05
Key Words and Phrases: postulation, curve with maximal rank, non-linearly normal embedding
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Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Year: 2012
Volume: 78
Issue: 8