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https://hdl.handle.net/2445/197444| Title: | Xiao's conjecture for general fibred surfaces |
| Author: | Barja, Miguel Ángel González-Alonso, Víctor Naranjo del Val, Juan Carlos |
| Keywords: | Geometria algebraica Superfícies algebraiques Algebraic geometry Algebraic surfaces |
| Issue Date: | 14-Jan-2016 |
| Publisher: | Walter de Gruyter |
| Abstract: | 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. |
| Note: | Reproducció del document publicat a: https://doi.org/10.1515/crelle-2015-0080 |
| It is part of: | Journal für die Reine und Angewandte Mathematik, 2016, vol. 18, num. 739, p. 297-308 |
| URI: | https://hdl.handle.net/2445/197444 |
| Related resource: | https://doi.org/10.1515/crelle-2015-0080 |
| ISSN: | 0075-4102 |
| Appears in Collections: | Articles publicats en revistes (Matemàtiques i Informàtica) |
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| File | Description | Size | Format | |
|---|---|---|---|---|
| 653899.pdf | 335.52 kB | Adobe PDF | View/Open |
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