Summary
Let C be any reduced and irreducible curve, lying on a smooth cubic surface S ⊂P 3. In this paper we determine the Hilbert function of C. Moreover we characterize some kinds of curves on S: the arithmetically Cohen-Macaulay curves, the maximal rank curves and the extremal ones.
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Work done with financial support of M.P.I., while the author was a member of C.N.R.
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Giuffrida, S. The Hilbert function of a curve lying on a smooth cubic surface. Annali di Matematica pura ed applicata 153, 275–292 (1988). https://doi.org/10.1007/BF01762395
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DOI: https://doi.org/10.1007/BF01762395