Inequalities for semi-stable surface fibrations, and their relation to   the Coleman-Oort conjecture
  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. 
Chris Peters
math.AG