# IJPAM: Volume 55, No. 4 (2009)

BRILL-NOETHER THEORY FOR
PENCILS ON REDUCIBLE CURVES

E. Ballico
Department of Mathematics
University of Trento
38 123 Povo (Trento) - Via Sommarive, 14, ITALY
e-mail: ballico@science.unitn.it

Abstract.Let be a general curve obtained from the reduced projective curve gluing together two points of to obtain a node of . If are in the same irreducible component of (resp. in different components ) we assume general in (resp. general in ). Here we describe the 's on in terms of the 's on .