IJPAM: Volume 46, No. 3 (2008)

ITERATED MULTIPLICATION MAPS FOR
STABLE VECTOR BUNDLES ON CURVES

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


Abstract.Let $C$ be a smooth curve of genus $g \ge 2$. Here we study the surjectivity of the iterated multiplication map $\sigma _{t,E}: S^t(H^0(C,E))\otimes H^0(C,\omega _C) \to H^0(C,S^t(E)\otimes \omega _C)$, $t \ge 1$ when $E$ is a stable vector bundle with low $h^1(C,E)$.

Received: June 10, 2008

AMS Subject Classification: 14H60

Key Words and Phrases: stable vector bundle, cohomology group, special vector bundle, multiplication map

Source: International Journal of Pure and Applied Mathematics
ISSN: 1311-8080
Year: 2008
Volume: 46
Issue: 3