Surfaces containing a family of plane curves not forming a fibration

• Autores: José Carlos Sierra García
• Localización: Collectanea mathematica, ISSN 0010-0757, Vol. 64, Fasc. 1, 2013, págs. 85-95
• Idioma: inglés
• DOI: 10.1007/s13348-011-0051-y
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• Resumen

  • Extending some previous results of Sierra and Tironi (J Pure Appl Algebra 209:361–369, 2007) and Beorchia and Sacchiero (J Pure Appl Algebra 213:1750–1755, 2009 ), 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.