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arXiv · 0707.4287

Effective Iitaka fibrations

Eckart Viehweg·De-Qi Zhang
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Abstract

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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Eckart Viehweg, De-Qi Zhang. 2008-02-23. Effective Iitaka fibrations. https://arxiv.org/abs/0707.4287

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