1996/01/03 by Matei Toma, Toma, Matei
Engineering · Mathematics · Physics and Astronomy · #Advanced Differential Geometry Research #Advanced Numerical Analysis Techniques #Algebraic Geometry (math.AG) #FOS: Mathematics #Mathematics and Applications #alg-geom #math.AG
paper · pdf · doi:10.48550/arxiv.alg-geom/9601002
revised TeX-version, latex2e
openalex publication_date 1996/01/03 · arxiv created 1996/01/22 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We consider Poncelet pairs (S,C), where S is a smooth conic and C is a degree-c plane curve having the Poncelet property with respect to S. We prove that for c>4 the projection (S,C)↦ C is generically one-to-one and use this to describe a birational model of the variety of Poncelet curves for c odd.