Counting higher order tangencies for plane curves

07/17/2018

∙

by   Joshua Zahl, et al.

∙

0

∙

share

We prove that n plane algebraic curves determine O(n^(k+2)/(k+1)) points of k-th order tangency. This generalizes an earlier result of Ellenberg, Solymosi, and Zahl on the number of (first order) tangencies determined by n plane algebraic curves.