21 citations · 30 across the 9 of their papers we have counts for
9 papers
A simplified proof of optimal -extension theorem and extensions from non-reduced subvarieties
Genki Hosono
We give a simplified proof of an optimal version of the Ohsawa-Takegoshi -extension theorem. We follow the variational proof by Berndtsson-Lempert and use the method in the pa…
On projective manifolds with pseudo-effective tangent bundle
Genki Hosono, Masataka Iwai, Shin-ichi Matsumura
In this paper, we develop the theory of singular hermitian metrics on vector bundles. As an application, we give a structure theorem of a projective manifold with pseudo-effect…
A converse of Hörmander's -estimate and new positivity notions for vector bundles
Genki Hosono, Takahiro Inayama
We study conditions of Hörmander's -estimate and the Ohsawa-Takegoshi extension theorem. Introducing a twisted version of Hörmander-type condition, we show a converse of Hörma…
Subharmonic variation of Azukawa pseudometrics for balanced domains
Genki Hosono
We consider the subharmonicity property of the logarithm of Azukawa pseudometrics of pseudoconvex domains under pseudoconvex variations. We prove that such a property holds for the…
On sharper estimates of Ohsawa-Takegoshi -extension theorem
Genki Hosono
We present an -extension theorem with an estimate depending on the weight functions for domains in . When the Hartogs domain defined by the weight function is stri…
The optimal jet extension of Ohsawa-Takegoshi type
Genki Hosono
We prove the extension theorem for jets with optimal estimate following the method of Berndtsson-Lempert. For this purpose, following Demailly's construction, we consider Her…
On metrics with minimal singularities of line bundles whose stable base loci admit holomorphic tubular neighborhoods
Genki Hosono, Takayuki Koike
We investigate the minimal singularities of metrics on a big line bundle over a projective manifold when the stable base locus of is a submanifold of codimension $r\geq…
Local geodesics between toric plurisubharmonic functions with infinite energy
Genki Hosono
Our interest is the behavior of weak geodesics between two plurisubharmonic functions on pseudoconvex domains. We characterize the convergence condition along the geodesic between…
Approximations and examples of singular Hermitian metrics on vector bundles
Genki Hosono
We study singular Hermitian metrics on vector bundles. There are two main results in this paper. The first one is on the coherence of the higher rank analogue of multiplier ideals…