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arXiv · 2308.12527

Independence of Singularity Type for Numerically Effective K\"ahler-Ricci Flows

Hosea Wondo·Zhou Zhang
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Abstract

In this paper, we show that the singularity type of solutions to the K\"aher-Ricci flow on a numerically effective manifold does not depend on the initial metric. More precisely if there exists a type III solution to the K\"ahler-Ricci flow, then any other solution starting from a different initial metric will also be Type III. This generalises previous results by Y. Zhang for the semi-ample case.

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Hosea Wondo, Zhou Zhang. 2023-08-24. Independence of Singularity Type for Numerically Effective K\"ahler-Ricci Flows. https://doi.org/10.2140/gt.2025.29.479

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