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Effectivity of Iitaka fibrations and pluricanonical systems of polarized pairs

dc.creatorBirkar, Caucher
dc.creatorZhang, De-Qi
dc.date.accessioned2018-11-24T23:26:32Z
dc.date.available2016-01-06T16:59:24Z
dc.date.available2018-11-24T23:26:32Z
dc.date.issued2016-01-18
dc.identifierhttps://www.repository.cam.ac.uk/handle/1810/253115
dc.identifier.urihttp://repository.aust.edu.ng/xmlui/handle/123456789/3846
dc.description.abstractFor every smooth complex projective variety W of dimension d and nonnegative Kodaira dimension, we show the existence of a universal constant m depending only on d and two natural invariants of the very general fibres of an Iitaka fibration of W such that the pluricanonical system |mKW | defines an Iitaka fibration. This is a consequence of a more general result on polarized adjoint divisors. In order to prove these results we develop a generalized theory of pairs, singularities, log canonical thresholds, adjunction, etc.
dc.languageen
dc.publisherSpringer
dc.publisherPublications mathématiques de l'IHÉS
dc.titleEffectivity of Iitaka fibrations and pluricanonical systems of polarized pairs
dc.typeArticle


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