IJPAM: Volume 72, No. 3 (2011)

ON THE GONALITY SEQUENCE OF A STABLE CURVE

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


Abstract. Here we study the existence of codimension one subvarieties of $\overline{\mathcal {M}}_g$ parametrizing curves with very low gonality with respect to balanced line bundles (i.e. the line bundles with multidegrees satisfying certain inequalities introduced by D. Gieseker and L. Caporaso). We also study the gonality sequence of certain hyperelliptic stable curves.

Received: September 17, 2010

AMS Subject Classification: 14H51, 14H10

Key Words and Phrases: stable curve, gonality, Brill-Noether theory, balanced line bundle

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Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Year: 2011
Volume: 72
Issue: 3