Effective Iitaka fibrations

Details Effective Iitaka fibrations Effective Iitaka fibrations

2007-07-29

arxiv.org/abs/0707.4287v3

Mathematics

Algebraic Geometry

19 pages, AMSLaTeX. Following suggestions of a referee, we added several comments and tried to improve the presentation of the

Scientific paper

We show that the M-canonical map of an n-dimensional complex projective manifold X of Kodaira dimension two is birational to an Iitaka fibration for a computable positive integer M. M depends on the index b of a general fibre F of the Iitaka fibration and on the Betti number of the canonical covering of F, In particular, M is a universal constant if the dimension n is smaller than or equal to 4.

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