xiao’s conjecture
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2018 ◽  
Vol 2018 (739) ◽  
pp. 297-308 ◽  
Author(s):  
Miguel Ángel Barja ◽  
Víctor González-Alonso ◽  
Juan Carlos Naranjo

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.


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