Article contents
Stratification of the Moduli Space of Four-Gonal Curves
Published online by Cambridge University Press: 26 August 2014
Abstract
Let X be a smooth irreducible projective curve of genus g and gonality 4. We show that the canonical model of X is contained in a uniquely defined surface, ruled by conics, whose geometry is deeply related to that of X. This surface allows us to define four invariants of X and, hence, to stratify the moduli space of four-gonal curves by means of closed irreducible subvarieties, whose dimensions we compute.
- Type
- Research Article
- Information
- Proceedings of the Edinburgh Mathematical Society , Volume 57 , Issue 3 , October 2014 , pp. 631 - 686
- Copyright
- Copyright © Edinburgh Mathematical Society 2014
References
- 4
- Cited by