Analytic torsion for irreducible holomorphic symplectic fourfolds with involution, I: Construction of an invariant
Fuente:
arXiv
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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866910502268960768 |
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| author | Imaike, Dai |
| author_facet | Imaike, Dai |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2406_18023 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Analytic torsion for irreducible holomorphic symplectic fourfolds with involution, I: Construction of an invariant Imaike, Dai Algebraic Geometry Differential Geometry 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. |
| title | Analytic torsion for irreducible holomorphic symplectic fourfolds with involution, I: Construction of an invariant |
| topic | Algebraic Geometry Differential Geometry |
| url | https://arxiv.org/abs/2406.18023 |