2014/04/13 by Nets Hawk Katz, Katz, Nets Hawk · 2 citations
Computer Science · Mathematics · #Advanced Differential Equations and Dynamical Systems #Art #Artificial intelligence #Classical Analysis and ODEs (math.CA) #Combinatorics (math.CO) #Computer science #Exposition (narrative) #FOS: Mathematics #Geometry #Incidence (geometry) #Line (geometry) #Literature #Mathematical analysis #Mathematics #Mathematics and Applications #Object (grammar) #Point (geometry) #Polynomial #Polynomial and algebraic computation #Pure mathematics #math.CA #math.CO
paper · pdf · doi:10.48550/arxiv.1404.3412
published in arXiv (Cornell University) (Cornell University) · 12 pages. An expository note submitted to ICM proceedings
arxiv created 2014/04/13 · openalex publication_date 2014/04/13 · arxiv updated 2014/04/15 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/06
We give a brief exposition of the proof of the Cayley-Salmon theorem and its recent role in incidence geometry. Even when we don't use the properties of ruled surfaces explicitly, the regime in which we have interesting results in point-line incidence problems often coincides with the regime in which lines are organized into ruled surfaces.