28 citations · 103 across the 14 of their papers we have counts for
13 papers · 1 filter
Intermediate Pseudoconvexity of Fiber Bundles
Masanori Adachi, Seungjae Lee, Aeryeong Seo
In this paper, we investigate the pseudoconvexity of locally trivial holomorphic ball bundles over compact Riemann surfaces of genus , as well as the intermediate pseudocon…
A residue formula for meromorphic connections and applications to stable sets of foliations
Masanori Adachi, Séverine Biard, Judith Brinkschulte
We discuss residue formulae that localize the first Chern class of a line bundle to the singular locus of a given holomorphic connection. As an application, we explain a proof for…
Dynamical aspects of foliations with ample normal bundle
Masanori Adachi, Judith Brinkschulte
We prove the following result that was conjectured by Brunella: Let be a compact complex manifold of dimension . Let be a codimension one holomorphic foli…
On Levi flat hypersurfaces with transversely affine foliation
Masanori Adachi, Severine Biard
We prove the non-existence of real analytic Levi flat hypersurface whose complement is 1-convex and Levi foliation is transversely affine in compact Kahler surfaces.
Diederich-Fornaess and Steinness indices for abstract CR manifolds
Masanori Adachi, Jihun Yum
We propose the concept of Diederich--Fornæss and Steinness indices on compact pseudoconvex CR manifolds of hypersurface type in terms of the D'Angelo 1-form. When the CR manifold b…
On a hyperconvex manifold without non-constant bounded holomorphic functions
Masanori Adachi
An example is given of a hyperconvex manifold without non-constant bounded holomorphic functions, which is realized as a domain with real-analytic Levi-flat boundary in a projectiv…
On weighted Bergman spaces of a domain with Levi-flat boundary
Masanori Adachi
The aim of this study is to understand to what extent a 1-convex domain with Levi-flat boundary is capable of holomorphic functions with slow growth. This paper discusses a typical…
On a global estimate of the Diederich--Fornaess index of Levi-flat real hypersurfaces
Masanori Adachi
In this expository paper, we review a recent progress of the study of the Diederich--Fornaess index of complex domains with emphasis on the case of domains with Levi-flat boundary.…
A CR proof for a global estimate of the Diederich--Fornaess index of Levi-flat real hypersurfaces
Masanori Adachi
Yet another proof is given for a global estimate of the Diederich--Fornaess index of relatively compact domains with Levi-flat boundary, namely, the index must be smaller than or e…
Curvature restrictions for Levi-flat real hypersurfaces in complex projective planes
Masanori Adachi, Judith Brinkschulte
We study curvature restrictions of Levi-flat real hypersurfaces in complex projective planes, whose existence is in question. We focus on its totally real Ricci curvature, the Ricc…
A local expression of the Diederich--Fornaess exponent and the exponent of conformal harmonic measures
Masanori Adachi
A local expression of the Diederich--Fornaess exponent of complements of Levi-flat real hypersurfaces is exhibited. This expression describes the correspondence between pseudoconve…
A global estimate for the Diederich--Fornaess index of weakly pseudoconvex domains
Masanori Adachi, Judith Brinkschulte
A uniform upper bound for the Diederich--Fornaess index is given for weakly pseudoconvex domains whose Levi-form of the boundary vanishes in -directions everywhere.
On the ampleness of positive CR line bundles over Levi-flat manifolds
Masanori Adachi
We give an example of a compact Levi-flat CR 3-manifold with a positive-along-leaves CR line bundle which is not ample with respect to transversely infinitely differentiable CR sec…