Finite time collapsing of the Kähler-Ricci flow on threefolds

Valentino Tosatti, Yuguang Zhang

Research output: Contribution to journalArticlepeer-review


We show that if on a compact Kähler threefold there is a solution of the Kähler-Ricci flow which has finite time collapsing, then the manifold admits a Fano fibration. Furthermore, if there is finite time extinction then the manifold is Fano and the initial class is a positive multiple of the first Chern class.

Original languageEnglish (US)
Pages (from-to)105-118
Number of pages14
JournalAnnali della Scuola Normale Superiore di Pisa - Classe di Scienze
Issue number1
StatePublished - 2018

ASJC Scopus subject areas

  • Theoretical Computer Science
  • Mathematics (miscellaneous)


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