Document type
ArticleVersion
Published versionPublication date
All rights reserved
Please use this identifier to cite or link to this item: https://hdl.handle.net/2445/197444
Xiao's conjecture for general fibred surfaces
Journal Title
Director/Tutor
Additional contribution
Journal ISSN
Volume Title
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.
Related resource
Subject (English)
Citation
Citation
BARJA, Miguel Ángel, GONZÁLEZ-ALONSO, Víctor and NARANJO DEL VAL, Juan Carlos. Xiao's conjecture for general fibred surfaces. Journal für die Reine und Angewandte Mathematik. 2016. Vol. 18, num. 739, pags. 297-308. ISSN 0075-4102. [consulted: 11 of October of 2026]. Available at: https://hdl.handle.net/2445/197444