IJPAM: Volume 16, No. 1 (2004)

WEIERSTRASS $n$-PLES FOR LINE
BUNDLES 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 an integral projective curve and $n$ distinct points $P_1,\dots ,P_n\in X_{reg}$. Here we give several results on the existence or non-existence of $L\in \mbox{\rm Pic}(X)$ such that $h^1(X,L)>0$ and $(P_1,\dots ,P_n)$ is a Weierstrass $n$-ple of $L$.

Received: July 5, 2004

AMS Subject Classification: 14H55

Key Words and Phrases: Weierstrass point, Weierstrass $n$-ple, Weierstrass pair

Source: International Journal of Pure and Applied Mathematics
ISSN: 1311-8080
Year: 2004
Volume: 16
Issue: 1