Xiao's conjuecture for general fibred surfaces

Barja Yáñez, Miguel Ángel; González Alonso, Víctor; Naranjo del Val, Joan Carles

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Barja Yáñez, Miguel Ángel

González Alonso, Víctor

Naranjo del Val, Joan Carles

Document typeResearch report

Defense date2014-01-10

Rights accessOpen Access

Except where otherwise noted, content on this work is licensed under a Creative Commons license : Attribution-NonCommercial-NoDerivs 3.0 Spain

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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CitationBarja, M.; González-Alonso, V.; Naranjo, J.C. "Xiao's conjuecture for general fibred surfaces". 2014.

URIhttp://hdl.handle.net/2117/24999

URL other repositoryhttp://arxiv.org/pdf/1401.7502.pdf

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