2 citations · 2 across the 3 of their papers we have counts for
6 papers · 1 filter
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…
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…
Hermitian metrics on the anti-canonical bundle of the blow-up of the projective plane at nine points
Takayuki Koike
We investigate Hermitian metrics on the anti-canonical bundle of a rational surface obtained by blowing up the projective plane at nine points. For that purpose, we pose a modified…
Higher codimensional Ueda theory for a compact submanifold with unitary flat normal bundle
Takayuki Koike
Let be a compact complex manifold embedded in a complex manifold with unitary flat normal bundle. Our interest is in a sort of the linearizability problem of a neighborhood of…
Ueda theory for compact curves with nodes
Takayuki Koike
Let be a compact complex curve included in a non-singular complex surface such that the normal bundle is topologically trivial. Ueda studied complex analytic properties of a ne…