IJPAM: Volume 55, No. 1 (2009)
GONALITY OF REDUCED CURVES ON A SMOOTH
SURFACE WITH GENERICALLY SPANNED
ANTICANONICAL LINE BUNDLE
SURFACE WITH GENERICALLY SPANNED
ANTICANONICAL LINE BUNDLE
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.Here we consider reduced curves on a smooth projective surface 
whose anticanonical is generically spanned (e.g. Hirzebruch surfaces) and study their gonality using an extension method due to T. Gomez.
Received: July 5, 2009
AMS Subject Classification: 14H20, 14H51
Key Words and Phrases: torsion free sheaf, gonality, anticanonical surface
Source: International Journal of Pure and Applied Mathematics
ISSN: 1311-8080
Year: 2009
Volume: 55
Issue: 1