Aeryeong Seo

activity

20112026

most citedSemi-continuity of Automorphism Groups of Strongly Pseudoconvex Domains: the low differentiability case

2 citations · 6 across the 16 of their papers we have counts for

collaborators

16 papers

math.CV2026

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 $\geq 2$ , as well as the intermediate pseudocon…

math.CV2025

Symmetric differentials and jets extension of $L^{2}$ holomorphic functions II: Explicit form

Seungjae Lee, Aeryeong Seo

For a symmetric differential on the compact quotient $Σ = B^{n} /Γ$ of the complex unit ball $B^{n} \subset C^{n}$ by a discrete subgroup $Γ\subset \mathrm{Aut…

math.CV2023★ 1 cited

Proper holomorphic maps between bounded symmetric domains with small rank differences

Sung-Yeon Kim, Ngaiming Mok, Aeryeong Seo

In this paper we study the rigidity of proper holomorphic maps $f : Ω \to Ω^{'}$ between irreducible bounded symmetric domains $Ω$ and $Ω^{'}$ with small rank differences: $2\leq \text…

math.CV2023

A Kähler potential on the unit ball with constant differential norm

Kang-hyurk Lee, Aeryeong Seo

Let $B^{n}$ be the unit ball in $C^{n}$ and $H^{n}$ be the homogeneous Siegel domain of the second kind which is biholomorphic to $B^{n}$ . We show that the…

math.CV2022

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…

math.CV2022

Holomorphicity of totally geodesic Kobayashi isometry between bounded symmetric domains

Sung-Yeon Kim, Aeryeong Seo

In this paper, we study the holomorphicity of totally geodesic Kobayashi isometric embeddings between bounded symmetric domains. First we show that for a $C^{1}$ -smooth totally geode…

math.CV2022

Totally geodesic discs in bounded symmetric domains

Sung-Yeon Kim, Aeryeong Seo

In this paper, we characterize $C^{2}$ -smooth totally geodesic isometric embeddings $f : Ω \to Ω^{'}$ between bounded symmetric domains $Ω$ and $Ω^{'}$ which extend $C^{1}$ -smoothly over s…

math.CV2022

Weighted $L^{2}$ Holomorphic functions on ball-fiber bundles over compact Kähler manifolds

Seungjae Lee, Aeryeong Seo

Let $M$ be a complex manifold and $Γ$ be a torsion-free cocompact lattice of $Aut (M)$ . Let $ρ : Γ \to S U (N, 1)$ be a representation and $M:=\widetil…

math.CV2020

Symmetric differentials and jets extension of $L^{2}$ holomorphic functions

Seungjae Lee, Aeryeong Seo

Let $Σ = B^{n} /Γ$ be a complex hyperbolic space with discrete subgroup $Γ$ of the automorphism group of the unit ball $B^{n}$ and $Ω$ be a quotient of $\mathbb B^n \time…

math.CV2019

Generalizations of linear fractional maps for classical symmetric domains and related fixed point theorems for generalized balls

Yun Gao, Sui-Chung Ng, Aeryeong Seo

We extended the study of the linear fractional self maps (e.g. by Cowen-MacCluer and Bisi-Bracci on the unit balls) to a much more general class of domains, called generalized type…

math.CV2019★ 1 cited

Weakly 1-completeness of holomorphic fiber bundles over compact Kähler manifolds

Aeryeong Seo

In 1985 Diederich and Ohsawa proved that every disc bundle over a compact Kähler manifold is weakly 1-complete. In this paper, under certain conditions we generalize this result to…

math.AG2018★ 1 cited

Normal bundles of cycles in flag domains

Jaehyun Hong, Alan Huckleberry, Aeryeong Seo

A real semisimple Lie group G_0 embedded in its complexification G has only finitely many orbits in any G-fag manifold Z = G/Q. The complex geometry of its open orbits D (flag doma…

math.CV2018

Biholomorphisms between Hartogs domains over homogeneous Siegel domains

Aeryeong Seo

In this paper, we characterize the Hartogs domains over homogeneous Siegel domains of type II and explicitly describe their automorphism groups. Moreover we prove that any proper h…

math.CV2017

A Kobayashi pseudo-distance for holomorphic bracket generating distributions

Aeryeong Seo

In this paper, we generalize the Kobayashi pseudo-distance to complex manifolds which admit holomorphic bracket generating distributions. The generalization is based on Chow's theo…

math.CV2015★ 1 cited

New examples of proper holomorphic maps among symmetric domains

Aeryeong Seo

The aim of this paper is to present a simple way to generate proper monomial rational maps between generalized balls and via the relations between generalized balls and bounded sym…

math.CV2011★ 2 cited

Semi-continuity of Automorphism Groups of Strongly Pseudoconvex Domains: the low differentiability case

Robert E. Greene, Kang-Tae Kim, Steven G. Krantz +1

We study the semicontinuity of automorphism groups for perturbations of domains in complex space or in complex manifolds. We provide a new approach to the study of such results for…

Intermediate Pseudoconvexity of Fiber Bundles

Symmetric differentials and jets extension of L2 holomorphic functions II: Explicit form

Proper holomorphic maps between bounded symmetric domains with small rank differences

A Kähler potential on the unit ball with constant differential norm

A characterization of the unit ball by a Kähler-Einstein potential

Holomorphicity of totally geodesic Kobayashi isometry between bounded symmetric domains

Totally geodesic discs in bounded symmetric domains

Weighted L2 Holomorphic functions on ball-fiber bundles over compact Kähler manifolds

Symmetric differentials and jets extension of L2 holomorphic functions

Generalizations of linear fractional maps for classical symmetric domains and related fixed point theorems for generalized balls

Weakly 1-completeness of holomorphic fiber bundles over compact Kähler manifolds

Normal bundles of cycles in flag domains

Biholomorphisms between Hartogs domains over homogeneous Siegel domains

A Kobayashi pseudo-distance for holomorphic bracket generating distributions

New examples of proper holomorphic maps among symmetric domains

Semi-continuity of Automorphism Groups of Strongly Pseudoconvex Domains: the low differentiability case

Symmetric differentials and jets extension of $L^{2}$ holomorphic functions II: Explicit form

Weighted $L^{2}$ Holomorphic functions on ball-fiber bundles over compact Kähler manifolds

Symmetric differentials and jets extension of $L^{2}$ holomorphic functions