3 citations · 4 across the 2 of their papers we have counts for
4 papers · 1 filter
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…
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…
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…