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arXiv · 1203.0213

Surfaces containing a family of plane curves not forming a fibration

José Carlos Sierra
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Abstract

We complete the classification of smooth surfaces swept out by a 1-dimensional family of plane curves that do not form a fibration. As a consequence, we characterize manifolds swept out by a 1-dimensional family of hypersurfaces that do not form a fibration.

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José Carlos Sierra. 2012-03-01. Surfaces containing a family of plane curves not forming a fibration. https://doi.org/10.1007/s13348-011-0051-y

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