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arXiv · 1507.08397

Finite time collapsing of the K\"ahler-Ricci flow on threefolds

Valentino Tosatti·Yuguang Zhang
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Abstract

We show that if on a compact Kahler threefold there is a solution of the Kahler-Ricci flow which encounters a finite time collapsing singularity, 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.

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Valentino Tosatti, Yuguang Zhang. 2015-07-30. Finite time collapsing of the K\"ahler-Ricci flow on threefolds. https://doi.org/10.2422/2036-2145.201508_003

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