Sunto
Fissata una superficie algebrica liscia X sopra un campo algebricamente chiuso e di caratteristica 0, e una curva ridotta C su X, si introduce, per ogni δ-upla di numeri naturali m1,..., mδ, uno schema W=W(C, m1,..., mδ), parametrizzante le curve del sistema lineare ¦C¦ con punti multipli ordinari di molteplicità almeno m1,..., mδ. Si studia W in relazione con la configurazione delie singolarità e delle componenti irriducibili di C. Si prova in particolare un teorema di «virtuale connessione», che permette di stabilire l'esistenza di curve irriducibili in alcuni di tali schemi W.
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Membro del G.N.S.A.G.A. del C.N.R.
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Gradolato, M.A., Mezzetti, E. Families of curves with ordinary singular points on regular surfaces. Annali di Matematica pura ed applicata 150, 281–298 (1988). https://doi.org/10.1007/BF01761471
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DOI: https://doi.org/10.1007/BF01761471