Abstract
Linear pencils of tropical plane curves are parameterized by tropical lines (i.e. trees) in the space of coefficients. We study pencils of tropical curves with n-element support that pass through n−2 general points in the plane. Richter-Gebert et al. proved that such trees are compatible with their support set, and they conjectured that every compatible tree can be realized by a point configuration. In this article, we prove this conjecture. Our approach is based on a characterization of the fixed loci of tropical linear pencils.
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