IJPAM: Volume 37, No. 1 (2007)

ON THE MULTIPLICATION MAP FOR
A LINE BUNDLE ON A CURVE

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 projective curve, $L\in \mbox{Pic}(X)$ and $V \subseteq H^0(X,L)$ a linear subspace. Here we study the multiplication map $H^0(X,L)\otimes V \to H^0(X,L^{\otimes 2})$.

Received: January 16, 2007

AMS Subject Classification: 14H50

Key Words and Phrases: line bundles on curves, multiplication map, normal generation

Source: International Journal of Pure and Applied Mathematics
ISSN: 1311-8080
Year: 2007
Volume: 37
Issue: 1