3 papers
math.AG2024
Analytic torsion for irreducible holomorphic symplectic fourfolds with involution, III: relation with the BCOV invariant
Dai Imaike
A Calabi-Yau 4-fold of Camere-Garbagnati-Mongardi is a crepant resolution of the quotient of a hyperkähler 4-fold by an antisymplectic involution. In this paper, we compare two di…
math.AG2024
Analytic torsion for irreducible holomorphic symplectic fourfolds with involution, II: the singularity of the invariant (with an Appendix by Ken-Ichi Yoshikawa)
Dai Imaike
We study the boundary behavior of the invariant of -type manifolds with antisymplectic involution, which we obtained using equivariant analytic torsion. We show the algeb…
math.AG2024
Analytic torsion for irreducible holomorphic symplectic fourfolds with involution, I: Construction of an invariant
Dai Imaike
In this paper, we construct an invariant for irreducible holomorphic symplectic manifolds of -type with antisymplectic involution by using the equivariant analytic torsio…