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Ching-Jui Lai

2011-06-10
09:00:00 - 09:50:00

308 , Mathematics Research Center Building (ori. New Math. Bldg.)

Let f : X -> Y be an algebraic fiber spaces such that the general fiber has a good minimal model. We show that if f is the Iitaka fibration, then X has a good minimal model. In particular, the minimal model conjecture (for smooth projective varieties) is reduced to the case of varieties with Kodaira dimension zero (and the abundance conjecture).