Varieties fibered by good minimal models

2009/12/15 by Ching-Jui Lai, Lai, Ching-Jui · 8 citations
Mathematics · #14E30 #Algebraic Geometry (math.AG) #FOS: Mathematics #math.AG #msc:14E30

paper · pdf · doi:10.48550/arxiv.0912.3012

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

arxiv created 2010/02/03 · arxiv updated 2010/02/26

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.

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