https://neckpinch.com/authors/hans-joachim-hein/New arXiv papers by Hans-Joachim Hein, from Neckpinch Tue, 03 Nov 2026 08:41:12 GMT https://neckpinch.com/papers/2405.04208/arxiv:2405.04208Tue, 07 May 2024 00:00:00 GMTHans-Joachim Hein, Man-Chun Lee, Valentino Tosatti — We consider the Kähler-Ricci flow on compact Kähler manifolds with semiample canonical bundle and intermediate Kodaira dimension, and show that the flow collapses to a canonical metric on the base of the Iitaka fibration in the locally smooth topology and with bounded Ricci curvature away from the singular fibers. This follows from an asymptotic expansion for the evolving metrics, in the spirit of recent work of the first and third-named authors on collapsing Calabi-Yau metrics, and proves two conjectures of Song and Tian.Ricci flowKähler–Ricci flowRicci-flat & Calabi–Yau(Non)collapsingKähler geometryLong-time existence & convergenceAnalytic minimal model program