The existence of the Kähler–Ricci soliton degeneration

Harold Blum, Yuchen Liu, Chenyang Xu, Ziquan Zhuang

Research output: Contribution to journalArticlepeer-review

4 Scopus citations


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.

Original languageEnglish (US)
Article numbere9
JournalForum of Mathematics, Pi
StatePublished - Mar 10 2023

All Science Journal Classification (ASJC) codes

  • Analysis
  • Algebra and Number Theory
  • Statistics and Probability
  • Mathematical Physics
  • Geometry and Topology
  • Discrete Mathematics and Combinatorics


Dive into the research topics of 'The existence of the Kähler–Ricci soliton degeneration'. Together they form a unique fingerprint.

Cite this