On a Conjecture of Hacon and Mckernan in Dimension Three

نویسنده

  • ADAM T. RINGLER
چکیده

We prove that there exists a universal constant r3 such that if X is a smooth projective threefold overCwith non-negative Kodaira dimension, then the linear system |rKX | admits a fibration that is birational to the Iitaka fibration as soon as r ≥ r3 and sufficiently divisible. This gives an affirmative answer to a conjecture of Hacon and McKernan [5, Conjecture 1.7] in the case of threefolds.

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تاریخ انتشار 2007