# IJPAM: Volume 4, No. 1 (2003)

HOLOMORPHIC VECTOR BUNDLES AND THEIR
SECTIONS WITH PRESCRIBED POLES
ON RIEMANN SURFACES

E. Ballico
Department of Mathematics
University of Trento
380 50 Povo (Trento) - via Sommarive, 14, ITALY
e-mail: ballico@science.unitn.it

Abstract.Let be a smooth connected compact Riemann Surface and a proper closed subset. Here we study holomorphic vector bundles on and meromorphic maps between them with poles contained in . We also study the case in which has a real structure, i.e. an anti-holomorphic involution and .