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For questions about tropical geometry, piece-wise linear functions with integer slopes, tropical degenerations and applications of tropical geometry, max-plus algebra, and tropical semifields.
4
votes
Accepted
Hodge Bundles on Tropical Spaces
There is a preprint Towards a tropical Hodge bundle by Bo Lin and Martin Ulirsch, which discusses the Hodge bundle over the moduli space of genus $g$ tropical curves.
6
votes
Is there any structure theorem for piecewise linear functions?
If you weren't assuming the piecewise linear function $f: \mathbb R^d \to \mathbb R$ is continuous, then I think this is true: we can just choose functions
$$ f_i = \begin{cases}
\text{(some linear pi …