The Hurwitz problem for abelian differentials

Julien Boulanger, Rodolfo Gutiérrez-Romo, Erwan Lanneau

Fix $g\ge 2$. Let $\mathsf{t}(g)$ be the maximal order of the translation group among all genus-$g$ abelian differentials. By work of Schlage-Puchta and Weitze-Schmithüsen, $\mat…