Ricci flow on quasiprojective manifolds

Details Ricci flow on quasiprojective manifolds Ricci flow on quasiprojective manifolds

2009-06-24

arxiv.org/abs/0906.4496v5

Mathematics

Differential Geometry

final version

Scientific paper

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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