The existence of the Kähler-Ricci soliton degeneration

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 Kähler-Ricci soliton when the ground field $\mathbb{k}=\mathbb{C}$.

Final version

References in corpus (3)

• On positivity of the CM line bundle on K-moduli spaces
• Uniqueness of the minimizer of the normalized volume function
• Basis divisors and balanced metrics

Cited by in corpus (2)

• A Note On Kähler-Ricci Flow on Fano Threefolds
• On the geometry of spaces of filtrations on local rings