Xiao's conjecture for general fibred surfaces
We prove that the genus $g$, the relative irregularity $q_f$ and the Clifford index $c_f$ of a non-isotrivial fibration $f$ satisfy the inequality $q_f \leq g-c_f$. This gives in particular a proof of Xiao's conjecture for fibrations whose general fibres have maximal Clifford index.
| Autores: | , , |
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| Tipo de recurso: | artículo |
| Estado: | Versión publicada |
| Fecha de publicación: | 2016 |
| País: | España |
| Institución: | Universidad de Barcelona |
| Repositorio: | Dipòsit Digital de la UB |
| OAI Identifier: | oai:diposit.ub.edu:2445/197444 |
| Acceso en línea: | https://hdl.handle.net/2445/197444 |
| Access Level: | acceso abierto |
| Palabra clave: | Geometria algebraica Superfícies algebraiques Algebraic geometry Algebraic surfaces |
| Sumario: | We prove that the genus $g$, the relative irregularity $q_f$ and the Clifford index $c_f$ of a non-isotrivial fibration $f$ satisfy the inequality $q_f \leq g-c_f$. This gives in particular a proof of Xiao's conjecture for fibrations whose general fibres have maximal Clifford index. |
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