Please use this identifier to cite or link to this item: https://doi.org/10.1007/s10240-016-0080-x
Title: EFFECTIVITY OF IITAKA FIBRATIONS AND PLURICANONICAL SYSTEMS OF POLARIZED PAIRS
Authors: Birkar, Caucher
Zhang, De-Qi 
Keywords: Science & Technology
Physical Sciences
Mathematics
GENERAL TYPE
VARIETIES
3-FOLDS
Issue Date: 1-Jun-2016
Publisher: SPRINGER HEIDELBERG
Citation: Birkar, Caucher, Zhang, De-Qi (2016-06-01). EFFECTIVITY OF IITAKA FIBRATIONS AND PLURICANONICAL SYSTEMS OF POLARIZED PAIRS. PUBLICATIONS MATHEMATIQUES DE L IHES 123 (1) : 283-331. ScholarBank@NUS Repository. https://doi.org/10.1007/s10240-016-0080-x
Abstract: For 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.
Source Title: PUBLICATIONS MATHEMATIQUES DE L IHES
URI: https://scholarbank.nus.edu.sg/handle/10635/234641
ISSN: 0073-8301
1618-1913
DOI: 10.1007/s10240-016-0080-x
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