IJPAM: Volume 77, No. 3 (2012)
THE MAXIMAL RANK CONJECTURE FOR LINEARLY
NORMAL CURVES
with
NORMAL CURVES


E. Ballico
Department of Mathematics
University of Trento
38 123 Povo (Trento) - Via Sommarive, 14, ITALY
e-mail: [email protected]
Department of Mathematics
University of Trento
38 123 Povo (Trento) - Via Sommarive, 14, ITALY
e-mail: [email protected]
Abstract. Let
be a general linearly normal curve with prescribed genus and
. Here we prove that
has maximal rank, i.e. that for all integers
the restriction map
is either injective or surjective.
Received: August 27, 2011
AMS Subject Classification: 14H50
Key Words and Phrases: maximal rank, curves with general moduli, postulation
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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: 77
Issue: 3