Cohomology of the fine compactified universal Jacobians ${\overline{J}}_2$ and ${\overline{J}}_{2,1}$

Abstract

We compute the rational cohomology of the fine compactified universal Jacobians over the moduli spaces of stable curves of genus $2$ with $0$ and $1$ marked points.

arXiv comment12 pages, extended computations in the ancillary file. All comments are welcome!