Surfaces containing a family of plane curves not forming a fibration
classification
🧮 math.AG
keywords
familyfibrationcurvesdimensionalformplanesurfacesswept
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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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