























Abstract:We study the geometric regularization of positive closed currents by the Kähler-Ricci flow on compact Kähler manifolds. In a previous work of ours, it was shown that the Kähler-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 Poincaré type ones, providing an approximation of $T_0$ by complete Kähler metrics with bounded curvature in a Zariski open set.
From: Hoang-Chinh Lu [view email]
[v1]
Sun, 14 Jun 2026 13:34:40 UTC (24 KB)
此内容由惯性聚合(RSS阅读器)自动聚合整理,仅供阅读参考。 原文来自 — 版权归原作者所有。