HAL (France)
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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 cohomology; the result
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