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Debarre–Huybrechts–Macrì–Voisin conjecture on numerical invariants of hyper-Kähler manifolds
Debarre–Huybrechts–Macrì–Voisin conjecture. Then $c_X=(2n-1)!!$ and the Huybrechts–Riemann–Roch polynomial of $X$ is
Conjectureopenbeauville-form hyperkahler-manifolds riemann-rocharXiv posted 2 days ago

Debarre–Huybrechts–Macrì–Voisin conjecture on numerical invariants of hyper-Kähler manifolds