IJPAM: Volume 52, No. 1 (2009)
EXISTENCE OR NON-EXISTENCE OF LOW
DEGREE SPANNED RANK
TORSION
FREE SHEAVES ON STABLE CURVES
WITH PRESCRIBED DUAL GRAPH
DEGREE SPANNED RANK
TORSION
FREE SHEAVES ON STABLE CURVES
WITH PRESCRIBED DUAL GRAPH
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 study the existence or non-existence of low degree spanned rank torsion free sheaves on stable curves with prescribed dual graph. We also consider curves whose Clifford index computed by a non-locally free sheaf with 
independent sections.
Received: January 11, 2009
AMS Subject Classification: 14H51, 14H10, 14H20
Key Words and Phrases: reducible curve, gonality, stable curve, torsion free sheaf, stable curve
Source: International Journal of Pure and Applied Mathematics
ISSN: 1311-8080
Year: 2009
Volume: 52
Issue: 1