Subcanonicity of codimension two subvarieties
We prove that smooth subvarieties of codimension two in Grassmannians of lines of dimension at least six are rationally numerically subcanonical. We prove the same result for smooth quadrics of dimension at least six under some extra condition. The method is quite easy, and only uses Serre’s constru...
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| Tipo de recurso: | artículo |
| Fecha de publicación: | 2005 |
| País: | España |
| Institución: | Universidad Complutense de Madrid (UCM) |
| Repositorio: | Docta Complutense |
| Idioma: | inglés |
| OAI Identifier: | oai:docta.ucm.es:20.500.14352/49573 |
| Acceso en línea: | https://hdl.handle.net/20.500.14352/49573 |
| Access Level: | acceso abierto |
| Palabra clave: | 514.7 Subcanonical varieties Grassmannians Quadrics Geometría diferencial 1204.04 Geometría Diferencial |
| Sumario: | We prove that smooth subvarieties of codimension two in Grassmannians of lines of dimension at least six are rationally numerically subcanonical. We prove the same result for smooth quadrics of dimension at least six under some extra condition. The method is quite easy, and only uses Serre’s construction, Porteous formula and Hodge index theorem. |
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