IJPAM: Volume 51, No. 3 (2009)
ON THE SURJECTIVITY OF THE SYMMETRIC
MULTIPLICATION MAP
OF A VECTOR BUNDLE
ON A REDUCIBLE CURVE
MULTIPLICATION MAP
OF A VECTOR BUNDLE
ON A REDUCIBLE CURVE
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 in certain cases the surjectivity of the symmetric multiplication map of the global sections of a vector bundle on a reducible projective curve.
Received: January 15, 2009
AMS Subject Classification: 14H20, 14H60
Key Words and Phrases: reducible curve, symmetric multiplication map, vector bundle, general stable vector bundle
Source: International Journal of Pure and Applied Mathematics
ISSN: 1311-8080
Year: 2009
Volume: 51
Issue: 3