Gromov-Hausdorff limits of immortal Kähler-Ricci flows

Fuente: arXiv
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Autori principali: Lee, Man-Chun, Tosatti, Valentino, Zhang, Junsheng
Natura: Preprint
Pubblicazione: 2026
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author Lee, Man-Chun
Tosatti, Valentino
Zhang, Junsheng
author_facet Lee, Man-Chun
Tosatti, Valentino
Zhang, Junsheng
contents We show that the normalized Kähler-Ricci flow on a compact Kähler manifold with semiample canonical bundle converges in the Gromov-Hausdorff topology to the metric completion of the twisted Kähler-Einstein metric on the canonical model, as conjectured by Song-Tian's analytic mimimal model program.
format Preprint
id arxiv_https___arxiv_org_abs_2602_19913
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Gromov-Hausdorff limits of immortal Kähler-Ricci flows
Lee, Man-Chun
Tosatti, Valentino
Zhang, Junsheng
Differential Geometry
Complex Variables
Metric Geometry
53E30, 53C55, 32Q15, 32W20, 35K96, 58J35
We show that the normalized Kähler-Ricci flow on a compact Kähler manifold with semiample canonical bundle converges in the Gromov-Hausdorff topology to the metric completion of the twisted Kähler-Einstein metric on the canonical model, as conjectured by Song-Tian's analytic mimimal model program.
title Gromov-Hausdorff limits of immortal Kähler-Ricci flows
topic Differential Geometry
Complex Variables
Metric Geometry
53E30, 53C55, 32Q15, 32W20, 35K96, 58J35
url https://arxiv.org/abs/2602.19913