The existence of the Kähler–Ricci soliton degeneration

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 .

Bibliographic Details
Main Authors: Harold Blum, Yuchen Liu, Chenyang Xu, Ziquan Zhuang
Format: Article
Language:English
Published: Cambridge University Press 2023-01-01
Series:Forum of Mathematics, Pi
Subjects:
Online Access:https://www.cambridge.org/core/product/identifier/S2050508623000057/type/journal_article