We construct the first example of a stable hyperholomorphic vector bundle of rank five on every hyper-Kähler manifold of -type whose deformation space is smooth of dimension 10. 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.
Bottini, A. (2024). Towards a modular construction of OG10. COMPOSITIO MATHEMATICA, 160(10), 2496-2529 [10.1112/s0010437x24007528].
Towards a modular construction of OG10
Bottini, Alessio
2024-01-01
Abstract
We construct the first example of a stable hyperholomorphic vector bundle of rank five on every hyper-Kähler manifold of -type whose deformation space is smooth of dimension 10. 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.File in questo prodotto:
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