Inequalities for semi-stable surface fibrations, and their relation to the Coleman-Oort conjecture

preprint2016arXivOpen access

I give a simplified proof of one of the main results in the recent preprint arXiv:1311.5858 by X. Luo and K. Zuo. Furthermore, I discuss the relation with the Coleman-Oort conjecture on special curves in the Torelli locus.

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Inequalities for semi-stable surface fibrations, and their relation to the Coleman-Oort conjecture

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