Una proprietà delle serie continue di curve appartenenti ad una superficie algebrica regolare. (Italian) JFM 30.0558.01

“Bei jeder Fläche, für welche das geometrische Flächengeschlecht gleich dem numerischen ist (vergl. F. d. M. 27, 521, 1896, JFM 27.0518.02), d. h. bei jeder regulären Fläche, ist jede continuirliche Curvenreihe ganz in einem linearen System enthalten.” Von diesem Satze giebt Verf. zwei Beweise.


JFM 27.0518.02
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[1] “ Sur une proprièté ďune classe dê surfaces algêbriques {” (Comptes Rendus, 1893).}
[2] Cfr. Castelnuovo:“ Alcune proprietà fondamentali dei sistemi lineari di curve tracciati sopra una superficie algebrica {” (Annali di Matematica, 1897).}
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