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The existence of the Kähler-Ricci soliton degeneration
Published 29 Mar 2021 in math.AG and math.DG | (2103.15278v2)
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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