Analytic torsion for irreducible holomorphic symplectic fourfolds with involution, I: Construction of an invariant

Dai Imaike

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arXiv · 2406.18023

Analytic torsion for irreducible holomorphic symplectic fourfolds with involution, I: Construction of an invariant

Dai Imaike

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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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Dai Imaike. 2024-06-26. Analytic torsion for irreducible holomorphic symplectic fourfolds with involution, I: Construction of an invariant. https://arxiv.org/abs/2406.18023

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