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Finite time collapsing of the Kahler-Ricci flow on threefolds
OAI: oai:purehost.bath.ac.uk:publications/85bbc236-0a48-4af8-9de0-fca8e56a259e • DOI: https://doi.org/10.2422/2036-2145.201508_003
Abstract
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.