Takayuki Koike

collaborators

2 papers

math.CV2024

Cohomology groups with compact support for flat line bundles on certain complex Lie groups

Takayuki Koike, Jinichiro Tanaka

Let $X$ be a complex surface obtained as the quotient of the complex Euclidean space $C^{2}$ by a discrete subgroup of rank $3$ . We investigate the cohomology group $H_0^1(X…

math.CV2024

Uniform $L^{2}$ -estimates for flat nontrivial line bundles on compact complex manifolds

Yoshinori Hashimoto, Takayuki Koike, Shin-ichi Matsumura

In this paper, we extend the uniform $L^{2}$ -estimate of $\partial ˉ$ -equations for flat nontrivial line bundles, proved for compact KÃ¤hler manifolds in the previous work, to co…

Cohomology groups with compact support for flat line bundles on certain complex Lie groups

Uniform L2-estimates for flat nontrivial line bundles on compact complex manifolds

Uniform $L^{2}$ -estimates for flat nontrivial line bundles on compact complex manifolds