Korean J. Math. Vol. 32 No. 4 (2024) pp.695-702
DOI: https://doi.org/10.11568/kjm.2024.32.4.695

A remark on regular transforms of positive closed (1,1)-currents

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Published: Dec 30, 2024
Keywords:
positive closed current, regular transform, quasi-plurisubharmonic function
Mathematics Subject Classification:
32U15, 32U40, 32Q15

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Taeyong Ahn
Department of Mathematics Education, Inha University, Incheon 22212, Republic of Korea

Abstract

In this note, we prove that every regular transform of a positive closed (1,1)-current on a compact K\"ahler manifold admits Lipschitz quasi-potentials. As an application, we obtain some regularity properties of the Dinh-Sibony approximation of positive closed currents in the case of bidegree (1,1).



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