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A Quartic with 28 Real Bitangents

1964/09/01 by Richard Blum, A. P. Guinand · 1 citation
Mathematics · Computer Science · Engineering · #Mathematics and Applications #Matrix Theory and Algorithms #Advanced Numerical Analysis Techniques #Quartic function #Mathematics #Quartic plane curve #Quartic surface #Plane (geometry) #Pure mathematics #Mathematical analysis #Geometry

paper · pdf · doi:10.4153/cmb-1964-038-6

openalex publication_date 1964/09/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/04

Abstract

According to Pluecker's equations a plane quartic can have at most 28 bitangents. These can be all real as has been shown by Pluecker himself with the help of the example (see [l]):

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