A singular cubic fourfold containing a plane
| Autor: | Paolo Stellari |
|---|---|
| Jazyk: | English<br />French<br />Italian |
| Rok vydání: | 2003 |
| Předmět: | |
| Zdroj: | Le Matematiche, Vol 58, Iss 2, Pp 277-305 (2003) |
| Druh dokumentu: | article |
| ISSN: | 0373-3505 2037-5298 |
| Popis: | In this paper we consider cubic 4-folds containing a plane whose discriminant curve is a reduced nodal plane sextic. In particular, we describe the singular points of such cubic 4-folds and we give conditions on the geometry of the plane sextics so that all the associated cubic 4-folds are singular. Moreover, we construct a family of smooth rational cubic 4-folds whose discriminant curve is reduced but reducible. |
| Databáze: | Directory of Open Access Journals |
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