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  1. 1 Universitatis Iagellonicae Acta Mathematica

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  1. 1 2012

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  1. 1 Tosatti V.

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Blowup behavior of the Kähler–Ricci flow on Fano manifolds

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Tosatti V.
Universitatis Iagellonicae Acta Mathematica
|
2012
|
vol. 50
117-126
EN
We study the blowup behavior at infinity of the normalized Kähler–Ricci flow on a Fano manifold which does not admit Kähler–Einstein metrics. We prove an estimate for the Kähler potential away from a multiplier ideal subscheme, which implies that the volume forms along the flow converge to zero locally uniformly away from the same set. Similar results are also proved for Aubin’s continuity method.
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