Working group: Takayuki Koike (D.13.15)
In this talk our interest is in the L^2-estimates of d-bar equations on a holomorphic line bundle L over a complex manifold X. When X is Stein or L is positive, Hörmander type estimates based on Nakano identity give nice estimates of them. However, when X is compact and L is flat, it is difficult to expect to obtain meaningful results from similar techniques. Focusing on this case, we will make a brief explanation on Ueda-type estimates for flat nontrivial line bundles on compact complex manifolds, and discuss some related problems.
