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.
Titolo: | On the Singularities of Surfaces Ruled by Conics | |
Autori: | ||
Data di pubblicazione: | 2014 | |
Rivista: | ||
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. | |
Handle: | http://hdl.handle.net/11368/2747698 | |
Digital Object Identifier (DOI): | http://dx.doi.org/10.1080/00927872.2012.749884 | |
URL: | http://www.tandfonline.com/doi/abs/10.1080/00927872.2012.749884 | |
Appare nelle tipologie: | 1.1 Articolo in Rivista |
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