Haitao Zou

Unpolarized Shafarevich conjectures for hyper-Kähler varieties

We prove the unpolarized Shafarevich conjecture for hyper-Kähler varieties of a fixed deformation type, unifying earlier results for K3 surfaces and polarized hyper-Kähler varieties.We also study a cohomological variant in which good reduction is replaced by unramifiedness of coh...