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arXiv · alg-geom/9504002

On number of hypersurfaces containing projective curves

S. L'vovsky
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Abstract

Generalizing a classical lemma of Castelnuovo, we characterize rational normal curves (resp. linearly normal elliptic curves) as curves $C\subset \PP^n$ such that the number of linearly independent hypersurfaces $Z\supset C$ of given degree~$m$ is maximal (resp. next to maximal).

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S. L'vovsky. 1995-04-04. On number of hypersurfaces containing projective curves. https://arxiv.org/abs/alg-geom/9504002

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