Hyperplane sections of cubic threefolds

2025/01/03 by Arnaud Beauville, Beauville, Arnaud · 1 citation
Mathematics · #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #FOS: Mathematics #Finite Group Theory Research #Mathematics and Applications

paper · pdf · doi:10.48550/arxiv.2501.07586

openalex publication_date 2025/01/03 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/01

Abstract

Let X be a smooth cubic hypersurface. We prove that a general cubic surface is isomorphic to a hyperplane section of X .

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