2013/03/25 by Jean Vallès, Vallès, Jean
Mathematics · #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #FOS: Mathematics #Geometric and Algebraic Topology #History and Theory of Mathematics #Mathematics and Applications #math.AG
paper · pdf · doi:10.48550/arxiv.1303.6113
7 pages, in French
arxiv created 2013/03/25 · openalex publication_date 2013/03/25 · arxiv updated 2013/03/26 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We recall the definition of Poncelet varieties that generalize the celebrated Poncelet curves introduced by Darboux. We show that any quadric and any smooth cubic in the projective space of dimension three is a Poncelet surface but that a general surface of degree greater than four is not.