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 with relative dimension no more than three, then X has a good minimal model.
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Lai, CJ. Varieties fibered by good minimal models. Math. Ann. 350, 533–547 (2011). https://doi.org/10.1007/s00208-010-0574-7
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DOI: https://doi.org/10.1007/s00208-010-0574-7