Ordinary planes, coplanar quadruples, and space quartics

DOI10.1112/jlms.12251zbMath1440.52016arXiv1808.10847OpenAlexW3102171221WikidataQ127679684 ScholiaQ127679684MaRDI QIDQ5217916

Aaron Lin, Konrad J. Swanepoel

Publication date: 26 February 2020

Published in: Journal of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1808.10847

zbMATH Keywords

prismDirac-Motzkin conjecturequadric surfaceordinary linesSylvester-Gallai theorempoint configurationGreen-Tao theoremantiprismordinary planesordinary circlescoplanar quadruplesspace quartic curve

Mathematics Subject Classification ID

Plane and space curves (14H50) Enumerative problems (combinatorial problems) in algebraic geometry (14N10) Arrangements of points, flats, hyperplanes (aspects of discrete geometry) (52C35) Erd?s problems and related topics of discrete geometry (52C10)

Related Items (1)

On sets defining few ordinary hyperplanes

Cites Work

• On sets defining few ordinary lines
• Lines, circles, planes and spheres
• Defining ideal of the Segre locus in arbitrary characteristic
• On sets defining few ordinary planes
• Trisecant Lemma for nonequidimensional varieties
• Chordal varieties of Veronese varieties and catalecticant matrices
• The Elekes-Szabó theorem in four dimensions
• On sets defining few ordinary circles
• On sets defining few ordinary solids
• George Boole and the origins of invariant theory
• Lectures on Resolution of Singularities (AM-166)
• The Arithmetic of Elliptic Curves
• On sets defining few ordinary hyperplanes
• The Lines and Planes Connecting the Points of a Finite Set
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