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Osservazioni sullo spazio dei moduli delle curve trigonali

Fabio BardelliAndrea Del Centina — 1981

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

Let C be an algebraic projective smooth and trigonal curve of genus g 5 . In this paper we define, in a way equivalent to that followed by A. Maroni in [1], an integer m , called the species of C , which is a birational invariant having the property that 0 m g + 2 3 and m g 0 mod(2). In section 1 we prove that for every g ( 5 ) and every m , as before, there are trigonal curves of genus g and species m . In section 2 we define the space g , 3 ; m 1 of moduli of trigonal curves of genus g and species m . We note that g , 3 ; m 1 is irreducible...

Alcune rappresentazioni del semipiano di Siegel

Andrea Del CentinaPaolo Zappa — 1975

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

We consider the representation of a Siegel half-plane associated with the polarized torus of dim 2m obtained by the periods of the holomorphic 2m-forms. In particular, for m=1 we obtain the geometric significance of the isomorphism between a Siegel half-plane of dimension three and the domain of type IV of the same dimension.

Osservazioni sullo spazio dei moduli delle curve trigonali

Fabio BardelliAndrea Del Centina — 1981

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

Let C be an algebraic projective smooth and trigonal curve of genus g 5 . In this paper we define, in a way equivalent to that followed by A. Maroni in [1], an integer m , called the species of C , which is a birational invariant having the property that 0 m g + 2 3 and m g 0 mod(2). In section 1 we prove that for every g ( 5 ) and every m , as before, there are trigonal curves of genus g and species m . In section 2 we define the space g , 3 ; m 1 of moduli of trigonal curves of genus g and species m . We note that g , 3 ; m 1 is irreducible...

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