2006/04/03 by Jean Vallès, Vallès, Jean
Mathematics · #14J #Advanced Differential Equations and Dynamical Systems #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #Combinatorics #FOS: Mathematics #Geometry #Hyperplane #Mathematics #Meromorphic and Entire Functions #Osculating circle #Philosophy #Plane (geometry) #Point (geometry) #Property (philosophy) #Pure mathematics #Surface (topology) #Type (biology) #math.AG #msc:14J
paper · pdf · doi:10.48550/arxiv.math/0604023
en français, 6 pages
arxiv created 2006/04/03 · openalex publication_date 2006/04/03 · arxiv updated 2016/08/16 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
The Del Pezzo surface S_6 obtained by blowing up the projective plane along three points (non aligned) has the following nice property : its osculating hyperplanes have a common point. For that reason S_6 is also called Togliatti surface. In this paper we give two explanations of this fact. After what we obtain two different families of varieties with an analogous property.