Displaying similar documents to “Codimension 1 subvarieties ℳ g and real gonality of real curves”

Curves of genus seven that do not satisfy the Gieseker-Petri theorem

Abel Castorena (2005)

Bollettino dell'Unione Matematica Italiana

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In the moduli space of curves of genus g , ℳ g , let 𝒢𝒫 g be the locus of curves that do not satisfy the Gieseker-Petri theorem. In the genus seven case we show that 𝒢𝒫 7 is a divisor in ℳ 7 .

On the gonality of curves in 𝐏 n

Edoardo Ballico (1997)

Commentationes Mathematicae Universitatis Carolinae

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Here we study the gonality of several projective curves which arise in a natural way (e.gċurves with maximal genus in 𝐏 n , curves with given degree d and genus g for all possible d , g if n = 3 and with large g for arbitrary ( d , g , n ) ).

On the geometry of moduli of curves and line bundles

Claudio Fontanari (2005)

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni

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Here we focus on the geometry of P ¯ d , g , the compactification of the universal Picard variety constructed by L. Caporaso. In particular, we show that the moduli space of spin curves constructed by M. Cornalba naturally injects into P ¯ d , g and we give generators and relations of the rational Picard group of P ¯ d , g , extending previous work by A. Kouvidakis.