12 citations · 23 across the 18 of their papers we have counts for
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An application of adjoint ideal sheaves to injectivity and extension theorems
Tsz On Mario Chan, Young-Jun Choi
This note reviews the authors' approach to Fujino's conjecture, i.e. the injectivity theorem for lc pairs on compact Kähler manifolds, via the use of adjoint ideal sheaves coupled…
A characterization of the unit ball by a Kähler-Einstein potential
Young-Jun Choi, Kang-Hyurk Lee, Aeryeong Seo
We will show that a universal covering of a compact Kähler manifold with ample canonical bundle is the unit ball if it admits a global potential function of the Kähler-Einstein met…
On an injectivity theorem for log-canonical pairs with analytic adjoint ideal sheaves
Tsz On Mario Chan, Young-Jun Choi
As an application of the residue functions corresponding to the lc-measures developed by the authors, the proof of the injectivity theorem on compact Kähler manifolds for plt pairs…
Existence of a complete holomorphic vector field via the Kähler-Einstein metric
Young-Jun Choi, Kang-Hyurk Lee
In this paper, we study the existence of a complete holomorphic vector fields on a strongly pseudoconvex complex manifold admitting a negatively curved complete Kähler-Einstein met…
A certain Kähler potential of the Poincaré metric and its characterization
Young-Jun Choi, Kang-Hyurk Lee, Sungmin Yoo
We will show a rigidity of a Kähler potential of the Poincaré metric with a constant length differential.
Fiberwise Kähler-Ricci flows on families of bounded strongly pseudoconvex domains
Young-Jun Choi, Sungmin Yoo
Let be the projection map onto the second factor and let be a domain in such that for , every…
Semi-continuity of the Diederich-Fornaess and Steinness indices
Young-Jun Choi, Jihun Yum
In this paper, we prove the semi-continuity theorem of Diederich-Fornæss index and Steinness index under a smooth deformation of pseudoconvex domains in Stein manifolds.
Extension with log-canonical measures and an improvement to the plt extension of Demailly--Hacon--Paun
Tsz On Mario Chan, Young-Jun Choi
With a view to proving the conjecture of "dlt extension" related to the abundance conjecture, a sequence of potential candidates for replacing the Ohsawa measure in the Ohsawa-Take…
Holomorphic family of strongly pseudoconvex domains in a Kähler manifold
Young-Jun Choi, Sungmin Yoo
Let be a surjective holomorphic mapping between Kähler manifolds. Let be a bounded smooth domain in such that every generic fiber …
Extension of the curvature form of the relative canonical line bundle on families of Calabi-Yau manifolds and applications
Young-Jun Choi, Georg Schumacher
Given a proper, open, holomorphic map of Kähler manifolds, whose general fibers are Calabi-Yau manifolds, the volume forms for the Ricci-flat metrics induce a hermitian metric on t…
Kähler forms for families of Calabi-Yau manifolds
Matthias Braun, Young-Jun Choi, Georg Schumacher
Kähler-Einstein metrics for polarized families of Calabi-Yau manifolds define a natural hermitian metric on the relative canonical bundle. The fact that the curvature form is equal…
Positivity of direct images of fiberwise Ricci-flat metrics on Calabi-Yau fibrations
Matthias Braun, Young-Jun Choi, Georg Schumacher
Let be a Kähler manifold which is fibered over a complex manifold such that every fiber is a Calabi-Yau manifold. Let be a fixed Kähler form on . By Yau's theorem, t…
Subharmonicity of the variations of Kähler-Einstein metrics on pseudoconvex domains
Young-Jun Choi
This paper is a sequel to \cite{Choi} in Math. Ann. In that paper we studied the subharmonicity of Kähler-Einstein metrics on strongly pseudoconvex domains of dimension greater tha…