2002/06/25 by Janós Kollár · 3 citations
Mathematics · #Algebraic Geometry and Number Theory #Meromorphic and Entire Functions #Advanced Differential Equations and Dynamical Systems #Mathematics #Mathematics Subject Classification #Cubic surface #Pure mathematics #Point (geometry) #Cubic form #Field (mathematics) #Surface (topology) #Mathematical analysis #Combinatorics #Geometry
paper · doi:10.1017/s1474748002000117
openalex publication_date 2002/06/25 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/30
Segre proved that a smooth cubic surface over is unirational if and only if it has a rational point. We prove that the result also holds for cubic hypersurfaces over any field, including finite fields.AMS 2000 Mathematics subject classification: Primary 14G05; 14G15. Secondary 11G25; 11D25