On smooth surfaces in P4 containing a plane curve
Ellia, Ph. · Folegatti, C.
Original · EN
We consider smooth surfaces S ⊂ containing a plane curve P and prove some general result concerning the linear system |H-P|. We then look at regular surfaces lying on hypersurfaces of degree s having a plane of multiplicity (s-2). This implies that S contains a plane curve. We prove that the degree of such surfaces is bounded and for s=4 we compute an actual bound.
English translation
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