MathSciDoc: An Archive for Mathematician ∫

 
Log In
Sign Up
Help
Go
 

Effectivity of iitaka fibrations and pluricanonical systems of polarized pairs

Caucher Birkar University of Cambridge De-Qi Zhang National University of Singapore

mathscidoc:1901.01001

Distinguished Paper Award in 2019

Publications mathématiques de l'IHÉS, (123), 283-331, 2016
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 |mK_W| 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.
Iitaka fibration, Kodaira dimension, birational map, pluri canonical map
[ Download ] [ 2019-01-30 15:12:59 uploaded by matzdq ] [ 269 downloads ] [ 0 comments ] 
@inproceedings{caucher2016effectivity,
  title={EFFECTIVITY OF Iitaka FIBRATIONS AND PLURICANONICAL SYSTEMS OF POLARIZED PAIRS},
  author={Caucher Birkar, and De-Qi Zhang},
  url={http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20190130151259573713195},
  booktitle={Publications mathématiques de l'IHÉS},
  number={123},
  pages={283-331},
  year={2016},
}
Caucher Birkar, and De-Qi Zhang. EFFECTIVITY OF Iitaka FIBRATIONS AND PLURICANONICAL SYSTEMS OF POLARIZED PAIRS. 2016. In Publications mathématiques de l'IHÉS. pp.283-331. http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20190130151259573713195.
Please log in for comment!
 
 
Contact us: office-iccm@tsinghua.edu.cn | Copyright Reserved