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On the minimum number of ordinary conics

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Publication:2024035
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DOI10.1007/s40590-021-00322-6zbMath1462.52026OpenAlexW3135652161MaRDI QIDQ2024035

Mario Huicochea

Publication date: 3 May 2021

Published in: Boletín de la Sociedad Matemática Mexicana. Third Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40590-021-00322-6


zbMATH Keywords

conicsSylvester-Gallai theoremGreen-Tao theorem


Mathematics Subject Classification ID

Enumerative problems (combinatorial problems) in algebraic geometry (14N10) Erd?s problems and related topics of discrete geometry (52C10)




Cites Work

  • Unnamed Item
  • On sets defining few ordinary lines
  • On the Sylvester-Gallai theorem for conics
  • On sets defining few ordinary planes
  • A Sylvester theorem for conic sections
  • There exist \(6n/13\) ordinary points
  • On sets defining few ordinary circles
  • A survey of Sylvester's problem and its generalizations
  • On the Number of Ordinary Conics
  • Research Problems in Discrete Geometry
  • On the Number of Ordinary Lines Determined by n Points
  • Basic Algebraic Geometry 2
  • The Lines and Planes Connecting the Points of a Finite Set


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