IJPAM: Volume 50, No. 4 (2009)
THE BRILL-NOETHER THEORY OF
CURVES OF QUASI-COMPACT TYPE
CURVES OF QUASI-COMPACT TYPE
E. Ballico
Department of Mathematics
University of Trento
380 50 Povo (Trento) - Via Sommarive, 14, ITALY
e-mail: ballico@science.unitn.it
Department of Mathematics
University of Trento
380 50 Povo (Trento) - Via Sommarive, 14, ITALY
e-mail: ballico@science.unitn.it
Abstract.Let be a reduced nodal projective curve whose dual graph is either a tree or a cycle. Here we study the Brill-Noether theory for certain rank
torsion free sheaves on
(roughly speaking, we assume that they are spanned at all singular points of
).
Received: December 20, 2008
AMS Subject Classification: 14H10, 14H50, 14H51
Key Words and Phrases: stable curve, Brill-Noether theory, reducible curve, curve of compact type
Source: International Journal of Pure and Applied Mathematics
ISSN: 1311-8080
Year: 2009
Volume: 50
Issue: 4