Tropical limit of log-inflection points for planar curves

Grigory Mikhalkin; Arthur Renaudineau

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arXiv · 1612.04083

Tropical limit of log-inflection points for planar curves

Grigory Mikhalkin·Arthur Renaudineau

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Abstract

The paper describes behavior of log-inflection points of curves in $(\mathbb{C}^*)^2$ under passing to the tropical limit. We show that such points accumulate by pairs at the midpoints of bounded edges in the limiting tropical curve. Log-inflection points are points of inflection with respect to the parallelization of $(\mathbb{C}^*)^2$ given by the multiplicative group law.

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BibTeX RIS

Grigory Mikhalkin, Arthur Renaudineau. 2017-12-15. Tropical limit of log-inflection points for planar curves. https://arxiv.org/abs/1612.04083

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