IJPAM: Volume 48, No. 2 (2008)

WEIERSTRASS POINTS OF BINARY CURVES

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


Abstract.A binary curve of genus $g$ is a nodal curve $X$ with two irreducible components, say $X = C_1\cup C_2$, such that $C_1 \cong C_2 \cong \mathbb {P}^1$ and $\sharp (C_1\cap C_2) = g+1$. Following papers by L. Caporaso here we study Weierstrass points on some binary curves.

Received: August 29, 2008

AMS Subject Classification: 14H55, 14H20

Key Words and Phrases: binary curve, Weierstrass point, stable curve, reducible curve

Source: International Journal of Pure and Applied Mathematics
ISSN: 1311-8080
Year: 2008
Volume: 48
Issue: 2