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:
File Dimensione Formato  
b_s_ArXiv2012_4gonal.pdf

accesso aperto

Tipologia: Bozza finale post-referaggio (post-print)
Licenza: Digital Rights Management non definito
Dimensione 509.63 kB
Formato Adobe PDF
509.63 kB Adobe PDF Visualizza/Apri
11368 2635148_Brundu_Stratification of the moduli space of four–gonal curves.pdf

Accesso chiuso

Tipologia: Documento in Versione Editoriale
Licenza: Digital Rights Management non definito
Dimensione 16.2 MB
Formato Adobe PDF
16.2 MB Adobe PDF   Visualizza/Apri   Richiedi una copia
Pubblicazioni consigliate

I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.

Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11368/2635148
 Avviso

Registrazione in corso di verifica.
La registrazione di questo prodotto non è ancora stata validata in ArTS.

Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus 5
  • ???jsp.display-item.citation.isi??? 5
social impact