Étale cohomological stability of the moduli space of stable elliptic surfaces

Oishee Banerjee, Jun-Yong Park, Johannes Schmitt

We compute the (stable) étale cohomology of ${\mathrm{Hom}}_n(C,\mathcal{P}(\vec{\lambda }))$, the moduli stack of degree $n$ morphisms from a smooth projective curve $C$ to the weighted p…