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arXiv · 2103.15278

The existence of the K\"ahler-Ricci soliton degeneration

Harold Blum·Yuchen Liu·Chenyang Xu·Ziquan Zhuang
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Abstract

We prove an algebraic version of the Hamilton-Tian Conjecture for all log Fano pairs. More precisely, we show that any log Fano pair admits a canonical two-step degeneration to a reduced uniformly Ding stable triple, which admits a K\"ahler-Ricci soliton when the ground field $\mathbb{k}=\mathbb{C}$.

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Harold Blum, Yuchen Liu, Chenyang Xu, Ziquan Zhuang. 2021-03-29. The existence of the K\"ahler-Ricci soliton degeneration. https://doi.org/10.1017/fmp.2023.5

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