The Kähler–Ricci flow through singularities

Jian Song, Gang Tian

Research output: Contribution to journalArticlepeer-review

70 Scopus citations


We prove the existence and uniqueness of the weak Kähler–Ricci flow on projective varieties with log terminal singularities. We also show that the weak Kähler–Ricci flow can be uniquely continued through divisorial contractions and flips if they exist. Finally we propose an analytic version of the minimal model program with Ricci flow.

Original languageEnglish (US)
Pages (from-to)519-595
Number of pages77
JournalInventiones Mathematicae
Issue number2
StatePublished - Feb 1 2017

All Science Journal Classification (ASJC) codes

  • General Mathematics


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