Varieties fibered by good minimal models
Algebraic Geometry
2010-02-03 v2
Abstract
Let f:X->Y be an algebraic fiber space such that the general fiber has a good minimal model. We show that if f is the Iitaka fibration or if f is the Albanese map of relative dimension no more than three, then X has a good minimal model.
Keywords
Cite
@article{arxiv.0912.3012,
title = {Varieties fibered by good minimal models},
author = {Ching-Jui Lai},
journal= {arXiv preprint arXiv:0912.3012},
year = {2010}
}
Comments
12 pages. Correction of definition of vertical part of a divisor. A more precise (well-known) description of V_m(K_X) has been added