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arXiv · 1806.05527

The universal tropical Jacobian and the skeleton of the Esteves' universal Jacobian

Alex Abreu·Marco Pacini
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Abstract

For each universal genus-$g$ polarization $\mu$ of degree $d$, we construct a universal tropical Jacobian $J_{\mu,g}^{trop}$ as a generalized cone complex over the moduli space of stable pointed genus-$g$ tropical curves. We show several properties of the space $J_{\mu,g}^{trop}$. In particular, we prove that the natural compactification of $J_{\mu,g}^{trop}$ is the tropicalization of the Esteves' compactified universal Jacobian over the moduli space of stable pointed genus-$g$ curves.

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Alex Abreu, Marco Pacini. 2018-06-14. The universal tropical Jacobian and the skeleton of the Esteves' universal Jacobian. https://doi.org/10.1112/plms.12298

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