IJPAM: Volume 51, No. 1 (2009)
ON THE GONALITY OF CERTAIN REDUCIBLE
CURVES ON HIRZEBRUCH SURFACES
CURVES ON HIRZEBRUCH SURFACES
E. Ballico
Department of Mathematics
University of Trento
380 50 Povo (Trento) - Via Sommarive, 14, ITALY
e-mail: ballico@science.unitn.it
Department of Mathematics
University of Trento
380 50 Povo (Trento) - Via Sommarive, 14, ITALY
e-mail: ballico@science.unitn.it
Abstract.Here we prove that the gonality of certain very particular curves (nodal with smooth and rational components) on a Hirzebruch surface is compute by a ruling of
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Received: December 21, 2008
AMS Subject Classification: 14H20, 14H51
Key Words and Phrases: reducible curve, gonality, Hirzebruch surface
Source: International Journal of Pure and Applied Mathematics
ISSN: 1311-8080
Year: 2009
Volume: 51
Issue: 1