Inductive characterizations of hyperquadrics

2007/05/21 by Baohua Fu, Fu, Baohua
Mathematics · #Advanced Algebra and Geometry #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #FOS: Mathematics #Geometry and complex manifolds #math.AG

paper · pdf · doi:10.48550/arxiv.0705.2927

arxiv created 2007/05/21 · openalex publication_date 2007/05/21 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We give two characterizations of hyperquadrics: one as non-degenerate smooth projective varieties swept out by large dimensional quadric subvarieties passing through a point; the other as LQEL-manifolds with large secant defects.

Related

• Super-rigidity for CR embeddings of real hypersurfaces into hyperquadrics
• Chern-Moser-Weyl Tensor and Embeddings into Hyperquadrics
• Projective manifolds modeled after hyperquadrics
• Characterizations of projective spaces and hyperquadrics
• No skew branes on non-degenerate hyperquadrics