Abstract:
This paper describes the behaviour of log-inflection points (that is, points of inflection with respect to the parallelization of $(\mathbb{C} ^\times)^2$ given by the multiplicative group law) of curves in $(\mathbb{C}^\times)^2$ under passage to the tropical limit. Assuming that the limiting tropical curve is smooth, we show that log-inflection points accumulate by pairs at the midpoints of bounded edges of it.
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