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arXiv · 2607.25657

Continuous local potential functionals and the Dinh-Sibony product

Taeyong Ahn
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Abstract

In this article, we generalize the notion of continuous superpotentials on compact K\"ahler manifolds to arbitrary complex manifolds in terms of local potential functionals and study related properties. In particular, we study the associativity of the Dinh-Sibony product and also a sufficient condition for the continuity of the Dinh-Sibony product.

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Taeyong Ahn. 2026-07-28. Continuous local potential functionals and the Dinh-Sibony product. https://arxiv.org/abs/2607.25657

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