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Effectivity of Iitaka fibrations and pluricanonical systems of polarized pairs

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De-Qi Zhang (National University of Singapore, z.Z. MPI Bonn)

What
  • Seminar
When Apr 28, 2016
from 10:30 am to 11:30 am
Where Bonn, Hörsaal MPI, Vivatsgasse 7
Contact Name Sachinidis
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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. This is a joint work with Caucher Birkar.