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arXiv · 2606.15816

K\"ahler-Ricci Flow: from divisors to cusps

Eleonora Di Nezza·Vincent Guedj·Chinh H. Lu
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Abstract

We study the geometric regularization of positive closed currents by the K\"ahler-Ricci flow on compact K\"ahler manifolds. In a previous work of ours, it was shown that the K\"ahler-Ricci flow immediately smoothes out such a current when it has zero Lelong numbers. We study here the case when $T_0$ has divisorial singularities, showing that the flow gradually replaces the latter by Poincar\'e type ones, providing an approximation of $T_0$ by complete K\"ahler metrics with bounded curvature in a Zariski open set.

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Eleonora Di Nezza, Vincent Guedj, Chinh H. Lu. 2026-06-14. K\"ahler-Ricci Flow: from divisors to cusps. https://arxiv.org/abs/2606.15816

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