CONFERINTA

"Pluricanonical systems on algebraic varieties of positive Kodaira dimension"

 Gianluca PACIENZA
(Univ. Strasbourg)

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 X --> Iitaka(X) of smooth projective varieties of arbitrary (positive) Kodaira dimension such that Iitaka(X) is not uniruled. For certain classes of varieties (e.g. for 3-folds) this extra condition can be dropped.

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