Projective manifolds with splitting tangent bundles, I

2001/01/24 by Frédéric Campana, Frederic Campana, Campana, Frederic +2
Mathematics · #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #FOS: Mathematics #Geometric Analysis and Curvature Flows #Geometric and Algebraic Topology #math.AG

paper · pdf · doi:10.48550/arxiv.math/0101198

plain tex, 24 pages

arxiv created 2001/01/24 · openalex publication_date 2001/01/24 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We investigate the universal cover of projective threefolds whose tangent bundle is a direct sum of subbundles in case the Kodaira dimension is not 1 and 2. We also prove results on Fano manifolds with splitting tangent bundles in any dimension.

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