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.
Stratification of the moduli space of four–gonal curves
BRUNDU, MICHELA;SACCHIERO, GIANNI
2014-01-01
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.File in questo prodotto:
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