The singularity of the equivariant analytic torsion invariant on K3[2]-type fourfolds with involution is algebraic, and on Hilbert squares the invariant equals a fixed power of Yoshikawa's K3 invariant up to a constant.
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Analytic torsion for irreducible holomorphic symplectic fourfolds with involution, II: the singularity of the invariant (with an Appendix by Ken-Ichi Yoshikawa)
The singularity of the equivariant analytic torsion invariant on K3[2]-type fourfolds with involution is algebraic, and on Hilbert squares the invariant equals a fixed power of Yoshikawa's K3 invariant up to a constant.