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dc.contributor.authorBirkar, Caucheren
dc.contributor.authorZhang, DQen
dc.date.accessioned2016-01-06T16:59:24Z
dc.date.available2016-01-06T16:59:24Z
dc.date.issued2016-06-01en
dc.identifier.citationC. Birkar & D-Q. Zhang. Publications mathématiques de l'IHÉS (2016). pp. 1-49. DOI:10.1007/s10240-016-0080-xen
dc.identifier.issn0073-8301
dc.identifier.urihttps://www.repository.cam.ac.uk/handle/1810/253115
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.description.sponsorshipThe first author was partially supported by a grant of the Leverhulme Trust. Part of this work was done when the first author visited National University of Singapore in April 2014. Part of this work was done when the first author visited National Taiwan University in August-September 2014 with the support of the Mathematics Division (Taipei Office) of the National Center for Theoretical Sciences. The visit was arranged by Jungkai A. Chen. He wishes to thank them all. The second author was partially supported by an ARF of National University of Singapore.
dc.description.urihttp://dx.doi.org/10.1007/s10240-016-0080-x
dc.language.isoenen
dc.publisherSpringer
dc.titleEffectivity of Iitaka fibrations and pluricanonical systems of polarized pairsen
dc.typeArticle
prism.endingPage331
prism.issueIdentifier1en
prism.publicationDate2016en
prism.publicationNamePublications Mathematiques de l'Institut des Hautes Etudes Scientifiquesen
prism.startingPage283
prism.volume123en
dcterms.dateAccepted2015-12-14en
rioxxterms.versionofrecord10.1007/s10240-016-0080-xen
rioxxterms.licenseref.urihttp://www.rioxx.net/licenses/all-rights-reserveden
rioxxterms.licenseref.startdate2016-06-01en
dc.identifier.eissn1618-1913
rioxxterms.typeJournal Article/Reviewen
cam.issuedOnline2016-01-18en
cam.orpheus.successThu Jan 30 12:55:28 GMT 2020 - Embargo updated*


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