A uniform L^{\infty} estimate for complex Monge-Ampere equations

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dc.creatorKolodziej, Slawomir
dc.creatorTian, Gang
dc.date2007-10-05
dc.date.accessioned2026-07-07T08:34:21Z
dc.date.available2026-07-07T08:34:21Z
dc.descriptionWe prove uniform sup-norm estimates for the Monge-Ampere equation with respect to a family of Kahler metrics which degenerate towards a pull-back of a metric from a lower dimensional manifold. This is then used to show the existence of generalized Kahler-Einstein metrics as the limits of the Kahler-Ricci flow for some holomorphic fibrations (in the spirit of Song and Tian "The Kahler-Ricci flow on surfaces of positive Kodaira dimension", arXiv:math/0602150).
dc.description14 pages
dc.identifierhttps://arxiv.org/abs/0710.1144
dc.identifierhttp://arxiv.org/abs/0710.1144
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/139409
dc.subjectDifferential Geometry
dc.subjectComplex Variables
dc.subject53C25; 32U
dc.titleA uniform L^{\infty} estimate for complex Monge-Ampere equations
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