4 problems

Let $\mathcal{P}(a_1,\dots,a_m\mid -b_1\mid\dots\mid -b_n)$ be a nonempty stratum of residueless meromorphic differentials on genus-zero curves, with zeros of orders…

Let $\overline{\mathcal{H}}_g^{\operatorname{res}}(a_1,\ldots,a_n)$ denote the moduli stack compactification of meromorphic differentials with prescribed orders $a_1,\ldots,a_n$ an…

Let $(\Gamma,p_0)$ be a smooth pointed curve in the moduli space under consideration, and let $\Psi_1$ and $\Psi_2$ be the two differentials defining the small foliation. Let $E$ b…

Let ${\mathcal M}_{g,1}(2)$ be the moduli space equipped with the small foliation ${\mathcal S}$ obtained by intersecting the foliations defined by fixing the periods of the two di…