A reduction for the distinct distances problem in \(\mathbb{R}^d\)

DOI10.1016/j.jcta.2019.02.010zbMath1420.52021arXiv1705.10963OpenAlexW2922314753MaRDI QIDQ2000647

Sam Bardwell-Evans, Adam Sheffer

Publication date: 28 June 2019

Published in: Journal of Combinatorial Theory. Series A (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1705.10963

zbMATH Keywords

Lie groupsdistinct distancescombinatorial geometryspin grouppoint-line incidence

Mathematics Subject Classification ID

Arrangements of points, flats, hyperplanes (aspects of discrete geometry) (52C35) Erd?s problems and related topics of discrete geometry (52C10)

Related Items

On bipartite distinct distances in the plane

Cites Work

• Unnamed Item
• Unnamed Item
• An incidence theorem in higher dimensions
• On the Erdős distinct distances problem in the plane
• Elementary structure of real algebraic varieties
• Near optimal bounds for the Erdős distinct distances problem in high dimensions
• A semi-algebraic version of Zarankiewicz's problem
• On the Use of the Klein Quadric for Geometric Incidence Problems in Two Dimensions
• Incidences in Three Dimensions and Distinct Distances in the Plane
• On Sets of Distances of n Points
• The complexification and degree of a semi-algebraic set.