Breaking the 3/2 Barrier for Unit Distances in Three Dimensions

DOI10.1093/imrn/rnx336zbMath1434.52020arXiv1706.05118OpenAlexW2964129378MaRDI QIDQ5206099

Joshua Zahl

Publication date: 18 December 2019

Published in: International Mathematics Research Notices (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1706.05118

zbMATH Keywords

unit distancespolynomial partitioningcuttingsincidences

Mathematics Subject Classification ID

Erd?s problems and related topics of discrete geometry (52C10)

Related Items (10)

Sphere tangencies, line incidences and Lie’s line-sphere correspondence ⋮ Counting and Cutting Rich Lenses in Arrangements of Circles ⋮ Nondegenerate spheres in four dimensions ⋮ Uniform distribution and geometric incidence theory ⋮ Classification of maps sending lines into translates of a curve ⋮ Angle chains and pinned variants ⋮ On incidences of lines in regular complexes ⋮ On the number of discrete chains ⋮ A general incidence bound in \(\mathbb{R}^d\) ⋮ Incidences between points and curves with almost two degrees of freedom

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