Tropical limit of log-inflection points for planar curves

Tuesday, 13 December, 2016

Published in: 


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.


Grigory Mikhalkin
Arthur Renaudineau