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Classification of automorphisms on a deformation family of hyper-Kähler four-folds by p -elementary lattices
We give a classification of all nonsymplectic automorphisms of prime order p acting on irreducible holomorphic symplectic four-folds deformation equivalent to the Hilbert scheme of two points on a K3 surface, for p = 2 , 3 , and 7 ≤ p ≤ 19 . Our classification relates some invariants …