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arXiv · 1701.04385

Towards a tropical Hodge bundle

Bo Lin·Martin Ulirsch
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Abstract

The moduli space $M_g^{trop}$ of tropical curves of genus $g$ is a generalized cone complex that parametrizes metric vertex-weighted graphs of genus $g$. For each such graph $\Gamma$, the associated canonical linear system $\vert K_\Gamma\vert$ has the structure of a polyhedral complex. In this article we propose a tropical analogue of the Hodge bundle on $M_g^{trop}$ and study its basic combinatorial properties. Our construction is illustrated with explicit computations and examples.

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Bo Lin, Martin Ulirsch. 2017-01-16. Towards a tropical Hodge bundle. https://doi.org/10.1007/978-1-4939-7486-3_16

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