Ricci flow on quasiprojective manifolds

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.

final version

References in corpus (2)

• Numerical characterization of the Kähler cone of a compact Kähler manifold
• Existence of Gradient Kahler-Ricci Solitons

Cited by in corpus (2)

• Instantaneously complete Chern-Ricci flow and Kähler-Einstein metrics
• The K"ahler-Ricci flow with Log Canonical Singularities