On the uniformity of the Iitaka fibration
Algebraic Geometry
2007-09-05 v1 Complex Variables
Abstract
We study pluricanonical systems on smooth projective varieties of positive Kodaira dimension, following the approach of Hacon-McKernan, Takayama and Tsuji succesfully used in the case of varieties of general type. We prove a uniformity result for the Iitaka fibration of smooth projective varieties of positive Kodaira dimension, provided that the base of the Iitaka fibration is not uniruled, the variation of the fibration is maximal, and the generic fiber has a good minimal model.
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Cite
@article{arxiv.0709.0310,
title = {On the uniformity of the Iitaka fibration},
author = {Gianluca Pacienza},
journal= {arXiv preprint arXiv:0709.0310},
year = {2007}
}
Comments
18 pages