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arXiv · 2210.05477

Incidence Estimates for Tubes in Complex Space

Sarah Tammen·Lingxian Zhang
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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 $\mathbb{C}^2$.

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Sarah Tammen, Lingxian Zhang. 2022-10-11. Incidence Estimates for Tubes in Complex Space. https://arxiv.org/abs/2210.05477

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