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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 stud…
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 of a compact Kähler manifold of dimension and for some integer with , there exists a prop…