Inequalities for semi-stable surface fibrations, and their relation to the Coleman-Oort conjecture
Chris Peters
TL;DR
This paper provides a simplified proof of a key result related to semi-stable surface fibrations and explores its implications for the Coleman-Oort conjecture concerning special curves in the Torelli locus.
Contribution
It offers a simplified proof of a main theorem in the context of semi-stable surface fibrations and discusses its connection to the Coleman-Oort conjecture.
Findings
Simplified proof of a main result in surface fibrations
Discussion on the relation to the Coleman-Oort conjecture
Insights into special curves in the Torelli locus
Abstract
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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Taxonomy
TopicsGeometric Analysis and Curvature Flows · Geometry and complex manifolds · Geometric and Algebraic Topology