O'Grady's tenfolds from stable bundles on hyper-Kähler fourfolds

2024/11/27 by Alessio Bottini, Bottini, Alessio
Mathematics · #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #FOS: Mathematics #Geometric Analysis and Curvature Flows #Geometry and complex manifolds

paper · pdf · doi:10.48550/arxiv.2411.18528

openalex publication_date 2024/11/27 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We provide a modular construction of the Laza--Saccà--Voisin compactification of the intermediate Jacobian fibration of a cubic fourfold. Additionally, we construct infinitely many 20-dimensional families of polarized hyper-Kähler manifolds of type OG10, realized as moduli spaces of stable bundles on hyper-Kähler manifolds of type K3^[2].

Related

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• Twists of intermediate Jacobian fibrations
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