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 $X$ be a smooth connected compact Riemann Surface and $K \subsetneqq X$ a proper closed subset. Here we study holomorphic vector bundles on $X$ and meromorphic maps between them with poles contained in $K$. We also study the case in which $X$ has a real structure, i.e. an anti-holomorphic involution $\sigma : X \to X$ and $\sigma (K) = K$.

Received: November 20, 2002

AMS Subject Classification: 30F10,30F50,14P99

Key Words and Phrases: holomorphic vector bundle on a Riemann Surface, holomorphic line bundles on a Riemann Surface, meromorphic sections with prescribed poles, real curve, anti-holomorphic involution

Source: International Journal of Pure and Applied Mathematics
ISSN: 1311-8080
Year: 2003
Volume: 4
Issue: 1