Surfaces containing a family of plane curves not forming a fibration
ISSN: 0010-0757
Année de publication: 2013
Volumen: 64
Fascículo: 1
Pages: 85-95
Type: Article
D'autres publications dans: Collectanea mathematica
Résumé
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.