Finite time collapsing of the Kahler-Ricci flow on threefolds

Valentino Tosatti, Yuguang Zhang

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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
Pages (from-to)105-118
Number of pages14
JournalAnnali della Scuola Normale Superiore di Pisa
Issue number1
Early online date29 Mar 2018
Publication statusPublished - 31 Dec 2018


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