Skip navigation
Skip navigation

Asymptotics of complete Kähler metrics of finite volume on quasiprojective manifolds

Rochon, Frederic; Zhang, Zhou

Description

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
URI: http://hdl.handle.net/1885/68215
Source: Advances in Mathematics
DOI: 10.1016/j.aim.2012.08.005

Download

File Description SizeFormat Image
01_Rochon_Asymptotics_of_complete_Kähler_2012.pdf507.47 kBAdobe PDF    Request a copy


Items in Open Research are protected by copyright, with all rights reserved, unless otherwise indicated.

Updated:  23 August 2018/ Responsible Officer:  University Librarian/ Page Contact:  Library Systems & Web Coordinator