88 citations · 143 across the 21 of their papers we have counts for
21 papers
cohomology of the complement of a semi-positive anticanonical divisor of a compact surface
Takayuki Koike
Let be a non-singular compact complex surface such that the anticanonical line bundle admits a smooth Hermitian metric with semi-positive curvature. For a non-singular hypersur…
Ueda's lemma via uniform Hörmander estimates for flat line bundles
Yoshinori Hashimoto, Takayuki Koike
We establish Hörmander-type -estimates for the -operators that hold uniformly for all nontrivial flat holomorphic line bundles on compact Kähler manifolds…
Holomorphic foliation associated with a semi-positive class of numerical dimension one
Takayuki Koike
Let be a compact Kähler manifold and be a class in the Dolbeault cohomology class of bidegree on . When the numerical dimension of is one and admits at…
A gluing construction of projective K3 surfaces
Takayuki Koike, Takato Uehara
We construct a non-Kummer projective K3 surface which admits compact Levi-flats by holomorphically patching two open complex surfaces obtained as the complements of tubular nei…
On the complement of a hypersurface with flat normal bundle which corresponds to a semipositive line bundle
Takayuki Koike
We investigate the complex analytic structure of the complement of a non-singular hypersurface with unitary flat normal bundle when the corresponding line bundle admits a Hermitian…
Linearization of transition functions of a semi-positive line bundle along a certain submanifold
Takayuki Koike
Let be a complex manifold and be a holomorphic line bundle on . Assume that is semi-positive, namely admits a smooth Hermitian metric with semi-positive Chern cu…