论文标题
迈向OG10的模块化结构
Towards a modular construction of OG10
论文作者
论文摘要
我们构建了稳定的超酚形态矢量束的第一个示例，在每一个$ \ mathrm {k3}^{[2]} $的每个Hyper-kähler歧管上，其变形空间平滑的尺寸十。它的模量空间对OG10型的超甲级歧管是卑鄙的。这提供了人们期望的证据表明，超喀勒在Hyper-Kähler上的模束空间可能导致Hyper-Kähler歧管的新例子。
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.
