12 citations · 23 across the 18 of their papers we have counts for
21 papers
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…
Non-reduced components of the Hilbert scheme of curves using triple covers
Youngook Choi, Hristo Iliev, Seonja Kim
In this paper we consider curves on a cone that pass through the vertex and are also triple covers of the base of the cone, which is a general smooth curve of genus and degree…
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…
Linear series on a curve of compact type bridged by a chain of elliptic curves
Youngook Choi, Seonja Kim
In the present paper we investigate conditions for the non-existence of a limit linear series on a curve of compact type such that two smooth curves are bridged by a chain of two e…
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 …
Components of the Hilbert Scheme of smooth projective curves using ruled surfaces
Youngook Choi, Hristo Iliev, Seonja Kim
Let be the union of irreducible components of the Hilbert scheme whose general points correspond to smooth irreducible non-degenerate curves of degree and…
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…
Moduli spaces of bundles and Hilbert schemes of scrolls over -gonal curves
Youngook Choi, Flaminio Flamini, Seonja Kim
The aim of this paper is two--fold. We first strongly improve our previous main result Theorem 3.1 in Arxiv 1702.00918v3 12Feb2018 ("Brill-Noether loci of rank two vector bundles o…
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…
Brill-Noether loci of rank two vector bundles on a general -gonal curve
Youngook Choi, Flaminio Flamini, Seonja Kim
In this paper we study the Brill Noether locus of rank 2, (semi)stable vector bundles with at least two sections and of suitable degrees on a general -gonal curve. We classify i…
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…
Normal generation of line bundles on multiple coverings
Seonja Kim
Any line bundle $\cl $ on a smooth curve of genus with $°\cl \ge 2g+1$ is normally generated, i.e., $φ_\cl (C)\subseteq \mathbb P H^0 (C,\cl)$ is projectively normal. Howev…
Normal generation and Clifford index
Youngook Choi, Seonja Kim, Young Rock Kim
Let be a smooth curve of genus and Clifford index . In this paper, we prove that if is neither hyperelliptic nor bielliptic with and co…
Severi Degrees in Cogenus 4
Youngook Choi
In this paper, we give closed-form formulae for Severi degrees in cogenus 3 and 4 using Ran's method. These formulae coincide with those of I. Vainsencher and for cogenus 3 case, t…