Taeyong Ahn

activity

20122026

collaborators

12 papers

math.CV2026

Continuous local potential functionals and the Dinh-Sibony product

Taeyong Ahn

In this article, we generalize the notion of continuous superpotentials on compact Kähler manifolds to arbitrary complex manifolds in terms of local potential functionals and study…

math.CV2025

Intersection of Positive Closed Currents

Taeyong Ahn

We investigate the intersection of positive closed currents in a general setting, employing tangent currents alongside King's residue formula. Our main result establishes a natural…

math.CV2024

Inverse images of positive closed currents under holomorphic endomorphisms of compact Kähler manifolds

Taeyong Ahn

We prove that for a surjective holomorphic endomorphism $f$ of a compact Kähler manifold $X$ of dimension $k \geq 2$ and for some integer $p$ with $1 \leq p \leq k$ , there exists a prope…

math.DS2020

An equidistribution theorem for biraitonal maps of $P^{k}$

Taeyong Ahn

We prove an equidistribution theorem of positive closed currents for a certain class of birational maps $f_{+} : P^{k} \to P^{k}$ of algebraic degree $d \geq 2$ satisfying $…

math.DS2018

Equidistribution of non-pluripolar products associated with quasi-plurisubharmonic functions of finite energy

Taeyong Ahn, Ngoc Cuong Nguyen

In this article, we consider currents given by the p-fold non-pluripolar product associated with a quasi-plurisubharmonic function of finite energy, and prove that normalized pull-…

math.DS2016

Local regularity of super-potentials and equidistribution of positive closed currents of $P^{k}$

Taeyong Ahn

In this paper, we introduce notions about local regularity of the super-potential and prove equidistribution of positive closed $(p, p)$ -currents of $P^{k}$ whose super-pote…

math.CV2014

Positivity and completeness of invariant metrics

Taeyong Ahn, Hervé Gaussier, Kang-Tae Kim

We present a method for constructing global holomorphic peak functions from local holomorphic support functions for broad classes of unbounded domains. As an application, we establ…

math.DS2014

Brody curves in complicated sets

Taeyong Ahn

We prove the existence of a leaf, which is injective Brody in $P^{2}$ , in the foliation of the boundary of the set of non-escaping points for certain Hénon mappings.

math.DS2014

Generalized Hénon mappings and foliation by injective Brody curves

Taeyong Ahn

We consider a finite composition of generalized Hénon mappings $f : C^{2} \to C^{2}$ and its Green function $g^{+} : C^{2} \to R_{\geq 0}$ …

math.CV2014

Bergman and Caratheodory metrics of the Kohn-Nirenberg domains

Taeyong Ahn, Herve Gaussier, Kang-Tae Kim

The Kohn-Nireberg domains are unbounded domains in the complex Euclidean space of dimension 2 upon which many outstanding questions are yet to be explored. The primary aim of this…

math.DS2013

Equidistribution in Higher Codimension for Holomorphic Endomorphisms of $P^{k}$

Taeyong Ahn

In this paper, we discuss the equidistribution phenomena for holomorphic endomorphisms over $P^{k}$ in the case of bidegree $(p, p)$ with $1 < p < k$ . We prove that if $f:\mathbb…

math.CV2012

Cut-off Function Lemma in Projective Spaces

Taeyong Ahn

We study a cut-off function lemma in projective spaces. We believe that this is well-known. We provide the details of the computation for later uses.

Continuous local potential functionals and the Dinh-Sibony product

Intersection of Positive Closed Currents

Inverse images of positive closed currents under holomorphic endomorphisms of compact Kähler manifolds

An equidistribution theorem for biraitonal maps of Pk

Equidistribution of non-pluripolar products associated with quasi-plurisubharmonic functions of finite energy

Local regularity of super-potentials and equidistribution of positive closed currents of Pk

Positivity and completeness of invariant metrics

Brody curves in complicated sets

Generalized Hénon mappings and foliation by injective Brody curves

Bergman and Caratheodory metrics of the Kohn-Nirenberg domains

Equidistribution in Higher Codimension for Holomorphic Endomorphisms of Pk

Cut-off Function Lemma in Projective Spaces

An equidistribution theorem for biraitonal maps of $P^{k}$

Local regularity of super-potentials and equidistribution of positive closed currents of $P^{k}$

Equidistribution in Higher Codimension for Holomorphic Endomorphisms of $P^{k}$