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Paper detail

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.

preprint2015arXivOpen access
Miguel Ángel BarjaVíctor González-AlonsoJuan Carlos Naranjo
math.AG
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Miguel Ángel BarjaVíctor González-AlonsoJuan Carlos Naranjo

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