We classify the singularities of a surface ruled by conics: they are rational double points of type A n or D n . This is proved by showing that they arise from a precise series of blow-ups of a suitable surface geometrically ruled by conics. We determine also the family of such surfaces which are birational models of a given surface ruled by conics and obtained in a “minimal way” from it.

On the Singularities of Surfaces Ruled by Conics

BRUNDU, MICHELA;SACCHIERO, GIANNI
2014

Abstract

We classify the singularities of a surface ruled by conics: they are rational double points of type A n or D n . This is proved by showing that they arise from a precise series of blow-ups of a suitable surface geometrically ruled by conics. We determine also the family of such surfaces which are birational models of a given surface ruled by conics and obtained in a “minimal way” from it.
http://www.tandfonline.com/doi/abs/10.1080/00927872.2012.749884
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/11368/2747698
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