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arXiv · 2411.18528

O'Grady's tenfolds from stable bundles on hyper-K\"ahler fourfolds

Alessio Bottini
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Abstract

We provide a modular construction of the Laza--Sacc\`a--Voisin compactification of the intermediate Jacobian fibration of a cubic fourfold. Additionally, we construct infinitely many $20$-dimensional families of polarized hyper-K\"ahler manifolds of type OG10, realized as moduli spaces of stable bundles on hyper-K\"ahler manifolds of type $\mathrm{K3}^{[2]}$.

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Alessio Bottini. 2024-11-27. O'Grady's tenfolds from stable bundles on hyper-K\"ahler fourfolds. https://arxiv.org/abs/2411.18528

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