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, Volume 65, Issue 4, pp 395–411 | Cite as

The Hilbert function of curves on certain smooth quartic surfaces

  • Salvatore Giuffrida


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.


Smooth Surface Number Theory Algebraic Geometry Topological Group Integral Curve 
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Copyright information

© Springer-Verlag 1989

Authors and Affiliations

  • Salvatore Giuffrida
    • 1
  1. 1.Dipartimento di MatematicaCatania

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