Abstract
The Riemann-Roch problem for divisors on a smooth surface in ℙ3 is studied. This problem is solved for some smooth quartic surfaces which are called Mori quartics; as a consequence the Hilbert function of any integral curve on a Mori quartic is determined.
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Giuffrida, S. The Hilbert function of curves on certain smooth quartic surfaces. Manuscripta Math 65, 395–411 (1989). https://doi.org/10.1007/BF01172788
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DOI: https://doi.org/10.1007/BF01172788