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arXiv · 2509.06384

On Bott-Chern and Aeppli cohomologies of two-dimensional toroidal groups

Jinichiro Tanaka
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Abstract

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.

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Jinichiro Tanaka. 2025-09-08. On Bott-Chern and Aeppli cohomologies of two-dimensional toroidal groups. https://arxiv.org/abs/2509.06384

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