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Asymptotics of complete Kähler metrics of finite volume on quasiprojective manifolds

Rochon, Frederic; Zhang, Zhou


Let X be a quasiprojective manifold given by the complement of a divisor D with normal crossings in a smooth projective manifold X. Using a natural compactification of X by a manifold with corners X~, we describe the full asymptotic behavior at infinity of certain complete Kähler metrics of finite volume on X. When these metrics evolve according to the Ricci flow, we prove that such asymptotic behaviors persist at later times by showing that the associated potential function is smooth up to the...[Show more]

CollectionsANU Research Publications
Date published: 2012
Type: Journal article
Source: Advances in Mathematics
DOI: 10.1016/j.aim.2012.08.005


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