Towards a modular construction of OG10
Fuente:
arXiv
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| Autor principal: | |
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| Formato: | Preprint |
| Publicado: |
2022
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866913580580864000 |
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| author | Bottini, Alessio |
| author_facet | Bottini, Alessio |
| contents | We construct the first example of a stable hyperholomorphic vector bundle of rank five on every hyper-Kähler manifold of $\mathrm{K3}^{[2]}$-type whose deformation space is smooth of dimension ten. Its moduli space is birational to a hyper-Kähler manifold of type OG10. This provides evidence for the expectation that moduli spaces of sheaves on a hyper-Kähler could lead to new examples of hyper-Kähler manifolds. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2211_09033 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Towards a modular construction of OG10 Bottini, Alessio Algebraic Geometry 14J42, 14F08, 14J60, 53D30 We construct the first example of a stable hyperholomorphic vector bundle of rank five on every hyper-Kähler manifold of $\mathrm{K3}^{[2]}$-type whose deformation space is smooth of dimension ten. Its moduli space is birational to a hyper-Kähler manifold of type OG10. This provides evidence for the expectation that moduli spaces of sheaves on a hyper-Kähler could lead to new examples of hyper-Kähler manifolds. |
| title | Towards a modular construction of OG10 |
| topic | Algebraic Geometry 14J42, 14F08, 14J60, 53D30 |
| url | https://arxiv.org/abs/2211.09033 |