On number of hypersurfaces containing projective curves

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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).
14 pages, no figures, AMSTeX v 2.1 with amsppt

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Algebraic Geometry, 14H50

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http://salesiana.dossiersoluciones.com/handle/123456789/150006

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/alg-geom/9504002
 http://arxiv.org/abs/alg-geom/9504002

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arXiv