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arXiv · 0906.4496

Ricci flow on quasiprojective manifolds

John Lott·Zhou Zhang
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Abstract

We consider the Kaehler-Ricci flow on complete finite-volume metrics that live on the complement of a divisor in a compact Kaehler manifold X. Assuming certain spatial asymptotics on the initial metric, we compute the singularity time in terms of cohomological data on X. We also give a sufficient condition for the singularity, if there is one, to be type-II.

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John Lott, Zhou Zhang. 2009-06-24. Ricci flow on quasiprojective manifolds. https://doi.org/10.1215/00127094-2010-067

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