Global Generation of Adjoint Line Bundles on Projective 5-folds

2014/05/04 by Fei Ye, Ye, Fei, Zhixian Zhu +1
Mathematics · #Advanced Differential Equations and Dynamical Systems #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #FOS: Mathematics #Tensor decomposition and applications

paper · pdf · doi:10.48550/arxiv.1405.0678

openalex publication_date 2014/05/04 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Let X be a smooth projective variety of dimension 5 and L be an ample line bundle on X such that L⁵>7⁵ and L^d⋅ Z≥ 7^d for any subvariety Z of dimension 1≤ d≤ 4. We show that O_X(K_X+L) is globally generated.

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