Analytic torsion for irreducible holomorphic symplectic fourfolds with involution, I: Construction of an invariant
Abstract
In this paper, we construct an invariant for irreducible holomorphic symplectic manifolds of K3[2]-type with antisymplectic involution by using the equivariant analytic torsion. Moreover, we give a formula for the complex Hessian of the logarithm of the invariant.
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