The cross-ratio degree problem is about counting rational curves with
n marked points satisfying n−3 cross-ratio conditions. This problem
has a tropical analogue which provides the same number, as shown by a
correspondence theorem. In general, there are no closed formulas for
this counting problem. In the special case of cross-ratio conditions
given by triangulations, a formula was found by Silversmith via
techniques of algebraic geometry.
We study the cross-ratio problem given by triangulations in the
tropical world. In addition to computing the cross-ratio degree by
tropical means, we provide concrete solutions for the counting problem
in arbitrary settings.
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