Distinct distances on curves via rigidity

DOI10.1007/s00454-014-9586-5zbMath1310.52017arXiv1307.0870OpenAlexW2062931332MaRDI QIDQ2249479

Marcos Charalambides

Publication date: 1 July 2014

Published in: Discrete \& Computational Geometry (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1307.0870

zbMATH Keywords

distinct distancesalgebraic curvesErdős distance problemstructural rigidity

Mathematics Subject Classification ID

Erd?s problems and related topics of discrete geometry (52C10) Curves in algebraic geometry (14H99)

Related Items (6)

The Elekes-Szabó theorem in four dimensions ⋮ Distinct distances between a collinear set and an arbitrary set of points ⋮ Improved Elekes-Szabó type estimates using proximity ⋮ Few distinct distances implies no heavy lines or circles ⋮ Distinct Distances on Algebraic Curves in the Plane ⋮ A note on distinct distances

Uses Software

• CASA

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• On the Erdős distinct distances problem in the plane
• Definability and fast quantifier elimination in algebraically closed fields
• Rational algebraic curves. A computer algebra approach
• A combinatorial problem on polynomials and rational functions
• How to find groups?
• Distinct distances on two lines
• On an application of Guth-Katz theorem
• The Structure of Polynomial Ideals and Gröbner Bases
• Helical CR structures and sub-Riemannian geodesics
• The Minimum Number of Distinct Areas of Triangles Determined by a Set of n Points in the Plane
• The Rigidity of Graphs
• On the Number of Incidences Between Points and Curves
• Fourier analysis and expanding phenomena in finite fields
• Rigidity of Frameworks Supported on Surfaces
• Distinct Distances on Algebraic Curves in the Plane
• On the Betti Numbers of Real Varieties
• On Sets of Distances of n Points
• A note on the number of distinct distances

This page was built for publication: Distinct distances on curves via rigidity