Varieties fibered by good minimal models

Mathematics – Algebraic Geometry

Scientific paper

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12 pages. Correction of definition of vertical part of a divisor. A more precise (well-known) description of V_m(K_X) has been

Scientific paper

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.

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