IJPAM: Volume 81, No. 6 (2012)
ON THE GONALITY SEQUENCE AND THE BIRATIONAL
GONALITY SEQUENCE OF SMOOTH CURVES
GONALITY SEQUENCE OF SMOOTH 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 a smooth curve of genus
. For any integer
the
-gonality of
is a minimal degree of a line bundle
such that
. If we assume
that the associated map
is birational onto its image, then we get
the
-birational gonality
. For
we prove the existence of
with
and
. For many genera we prove the existence of
with
and
(both inequalities for the same curve).
Received: October 8, 2012
AMS Subject Classification: 14H45, 14H50, 32L10
Key Words and Phrases: gonality sequence, birational gonality sequence, slope inequality, smooth curve, nodal curve
Download paper from here.
Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Year: 2012
Volume: 81
Issue: 6