Points in special position for tropical curves

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In this talk, we reveal structural aspects of tropical enumerative geometry which are not just the analog of classical facts.

Consider the moduli space of rational LaTeX: n-marked tropical curves of given degree in LaTeX: \mathbb{R}^2. We define for these curves the set of points in special position in two non-equivalent ways and discover that both of these sets have the structure of a tropical fan in LaTeX: \mathbb{R}^{2n}. We describe these fans in explicit terms including their weights.

This is joint work with Andreas Gathmann.

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