IJPAM: Volume 51, No. 1 (2009)
WEAKLY ACM VECTOR BUNDLES ON
RULED SURFACES AND THEIR BLOWING-UPS
RULED SURFACES AND THEIR BLOWING-UPS
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.Let 
be a geometrically ruled surface over a smooth projective curve. Let 
be obtained from by finitely many blowing-ups. Here we study numerical properties of rank 
vector bundles on (or ) which are weakly Cohen-Macaulay with respect to several polarizations and the boundness of their isomorphism classes.
Received: September 10, 2008
AMS Subject Classification: 14J60
Key Words and Phrases: ACM vector bundle, arithmetically Cohen-Macaulay vector bundle, ruled surface, blowing-up
Source: International Journal of Pure and Applied Mathematics
ISSN: 1311-8080
Year: 2009
Volume: 51
Issue: 1