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EnglishWe 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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| File | Descrizione | Tipologia | Licenza | |
|---|---|---|---|---|
| b_s_ArXiv2012.pdf | Documento in Pre-print | Digital Rights Management non definito | Open Access Visualizza/Apri | |
| 11368 2747698_Brundu_On the Singularities of Surfaces Ruled by Conics.pdf | Documento in Versione Editoriale | Digital Rights Management non definito | Administrator Richiedi una copia |
Utilizza questo identificativo per citare o creare un link a questo documento:
http://hdl.handle.net/11368/2747698
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