2 papers
math.CV2025
On Bott-Chern and Aeppli cohomologies of two-dimensional toroidal groups
Jinichiro Tanaka
A toroidal group is a generalization of a complex torus, and is obtained as the quotient of the complex Euclidean space by a discrete subgroup. Toroidal groups with…
math.CV2024
Cohomology groups with compact support for flat line bundles on certain complex Lie groups
Takayuki Koike, Jinichiro Tanaka
Let be a complex surface obtained as the quotient of the complex Euclidean space by a discrete subgroup of rank . We investigate the cohomology group $H_0^1(X…