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math.AG2014
Differential Geometry of the Mixed Hodge Metric
Gregory Pearlstein, Chris Peters
We investigate properties of the Hodge metric of a mixed period domain. In particular, we calculate its curvature and the curvature of the Hodge bundles. We also consider when the…
math.AG2014
Inequalities for semi-stable surface fibrations, and their relation to the Coleman-Oort conjecture
Chris Peters
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 conjectu…