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Alcune osservazioni sui moduli delle curve appartenenti ad una data superficie algebrica

Enrico Arbarello — 1975

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

Certain well known results by B. Segre are generalized by showing a further impossibility of extending for conveniently high values of the genus g a process given by Severi in studying the moduli of algebraic curves. It is also shown that, for g > 6, no algebraic system of non-singular algebraic curves of genus g having general moduli can lie on any given algebraic surface.

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