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Debarre–Huybrechts–Macrì–Voisin conjecture on small numerical values of hyper-Kähler manifolds
Debarre–Huybrechts–Macrì–Voisin conjecture. Then $a=1$ and $X$ is of $K3^{[n]}$ or OG10 deformation type. This more ambitious conjecture is verified for all known examples of hyper…
Conjectureopendeformation-types hyperkahler-manifolds numerical-invariantsarXiv posted 2 days ago

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