English

Ricci flow on quasiprojective manifolds

Differential Geometry 2019-12-19 v5

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.

Keywords

Cite

@article{arxiv.0906.4496,
  title  = {Ricci flow on quasiprojective manifolds},
  author = {John Lott and Zhou Zhang},
  journal= {arXiv preprint arXiv:0906.4496},
  year   = {2019}
}

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final version

R2 v1 2026-06-21T13:17:23.401Z