O'Grady's tenfolds from stable bundles on hyper-Kähler fourfolds
Fuente:
arXiv
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866915105045741568 |
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| author | Bottini, Alessio |
| author_facet | Bottini, Alessio |
| contents | 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 $\mathrm{K3}^{[2]}$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2411_18528 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | O'Grady's tenfolds from stable bundles on hyper-Kähler fourfolds Bottini, Alessio Algebraic Geometry 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 $\mathrm{K3}^{[2]}$. |
| title | O'Grady's tenfolds from stable bundles on hyper-Kähler fourfolds |
| topic | Algebraic Geometry |
| url | https://arxiv.org/abs/2411.18528 |