IJPAM: Volume 7, No. 3 (2003)

UNREDUCED TRIGONAL CURVES:
RIBBONS, ROPES AND BRILL-NOETHER THEORY

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


Abstract.Here we study locally Cohen-Macaulay projective curves from the point of view of Brill-Noether theory of special divisors. The easiest curves (after the hyperelliptic curves) are the trigonal curves. They occur in the set-up of ribbons and of $3$-ropes. Here we study their Brill-Noether theory (for ropes: special generalized line bundles).

Received: May 13, 2003

AMS Subject Classification: 14H51, 14HN05, 13H10

Key Words and Phrases: unreduced curve, trigonal curve, Brill-Noether theory, ribbons, ropes

Source: International Journal of Pure and Applied Mathematics
ISSN: 1311-8080
Year: 2003
Volume: 7
Issue: 3