On Bott-Chern and Aeppli cohomologies of two-dimensional toroidal groups
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arXiv
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866914221138116608 |
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| author | Tanaka, Jinichiro |
| author_facet | Tanaka, Jinichiro |
| contents | A toroidal group is a generalization of a complex torus, and is obtained as the quotient of the complex Euclidean space $\mathbb{C}^n$ by a discrete subgroup. Toroidal groups with finite-dimensional cohomology, called theta toroidal groups, are known to exhibit behavior analogous to that of complex tori. We compute Bott--Chern and Aeppli cohomologies for two-dimensional non-compact theta toroidal groups. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2509_06384 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | On Bott-Chern and Aeppli cohomologies of two-dimensional toroidal groups Tanaka, Jinichiro Complex Variables 32L10, 53C55 A toroidal group is a generalization of a complex torus, and is obtained as the quotient of the complex Euclidean space $\mathbb{C}^n$ by a discrete subgroup. Toroidal groups with finite-dimensional cohomology, called theta toroidal groups, are known to exhibit behavior analogous to that of complex tori. We compute Bott--Chern and Aeppli cohomologies for two-dimensional non-compact theta toroidal groups. |
| title | On Bott-Chern and Aeppli cohomologies of two-dimensional toroidal groups |
| topic | Complex Variables 32L10, 53C55 |
| url | https://arxiv.org/abs/2509.06384 |