On Smooth Surfaces in P Containing a Plane Curve

نویسنده

  • C. FOLEGATTI
چکیده

We work over an algebraically closed field of characteristic zero. In this paper we are dealing with smooth surfaces S in P which contain a plane curve, P . The first part contains some generalities about the linear system |H − P |, in particular we prove that its base locus has dimension zero and describe it. In the second section we look at surfaces lying on a hypersurface of degree s with a (s-2)-uple plane (we suppose s ≥ 4), indeed if the surface does not lie on a hyperquadric, this implies that it contains a plane curve (lemma 3.1). The main results are the following.

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تاریخ انتشار 2003