Generic vanishing index and the birationality of the bicanonical map of irregular varieties
We prove that any smooth complex projective variety with generic vanishingindex bigger or equal than 2 has birational bicanonical map. Therefore, if $X$ is a smoothcomplex projective variety $\varphi$ with maximal Albanese dimension and non-birational bicanonical map, then the Albanese image of $X$...
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| Format: | article |
| Status: | Versión aceptada para publicación |
| Publication Date: | 2012 |
| Country: | España |
| Institution: | Varias* (Consorci de Biblioteques Universitáries de Catalunya, Centre de Serveis Científics i Acadèmics de Catalunya) |
| Repository: | Recercat. Dipósit de la Recerca de Catalunya |
| OAI Identifier: | oai:recercat.cat:2445/145222 |
| Online Access: | https://hdl.handle.net/2445/145222 |
| Access Level: | Open access |
| Keyword: | Geometria algebraica Cicles algebraics Algebraic geometry Algebraic cycles |
| Summary: | We prove that any smooth complex projective variety with generic vanishingindex bigger or equal than 2 has birational bicanonical map. Therefore, if $X$ is a smoothcomplex projective variety $\varphi$ with maximal Albanese dimension and non-birational bicanonical map, then the Albanese image of $X$ is fibred by subvarieties of codimension at most 1 of an abelian subvariety of Alb $X$. |
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