The paper constructs explicit non-symplectic involutions on Hilbert squares of K3 surfaces, including a non-natural involution with invariant lattice <2>⊕<-2>.
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Geometric realizations of non-symplectic involutions on the Hilbert square of a K3 surface
The paper constructs explicit non-symplectic involutions on Hilbert squares of K3 surfaces, including a non-natural involution with invariant lattice <2>⊕<-2>.