Effective Iitaka fibrations
Algebraic Geometry
2018-06-20 v3 Complex Variables
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.
Keywords
Cite
@article{arxiv.0707.4287,
title = {Effective Iitaka fibrations},
author = {Eckart Viehweg and De-Qi Zhang},
journal= {arXiv preprint arXiv:0707.4287},
year = {2018}
}
Comments
19 pages, AMSLaTeX. Following suggestions of a referee, we added several comments and tried to improve the presentation of the results