Xiao's conjuecture for general fibred surfaces

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Document typeResearch report
Defense date2014-01-10
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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=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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Prerpint
CitationBarja, M.; González-Alonso, V.; Naranjo, J.C. "Xiao's conjuecture for general fibred surfaces". 2014.
URL other repositoryhttp://arxiv.org/pdf/1401.7502.pdf
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