IJPAM: Volume 54, No. 4 (2009)
ON THE EXISTENCE OF DEGREE
SPANNED
RANK
SHEAVES ON INTEGRAL CURVES
AND ON BINARY CURVES

RANK

AND ON BINARY 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 either an integral projective curve curve with only ordinary nodes or ordinary cusps (resp. a binary curve). Set
. Here we prove the existence on
of degree
spanned rank
torsion free sheaves (resp.
-semistable line bundles).
Received: July 2, 2009
AMS Subject Classification: 14H51
Key Words and Phrases: binary curve, singular curve, spanned torsion free sheaf theory, binary curve
Source: International Journal of Pure and Applied Mathematics
ISSN: 1311-8080
Year: 2009
Volume: 54
Issue: 4