paper

Incidence Estimates for Tubes in Complex Space

arXiv:2210.05477

Abstract

In this paper, we prove a complex version of the incidence estimate of Guth, Solomon and Wang for tubes obeying certain strong spacing conditions, and we use one of our new estimates to resolve a discretized variant of Falconer's distance set problem in .

28 Pages. Typos fixed. Accepted in the Journal of Fractal Geometry

Incidence Estimates for Tubes in Complex Space · wovepaper