Projectivity of the moduli space of stable log-varieties and subadditvity of log-Kodaira dimension

2015/03/10 by Kovács, Sándor J, Patakfalvi, Zsolt · 4 citations
#14E99 #14J10 #Algebraic Geometry (math.AG) #FOS: Mathematics

paper · doi:10.48550/arxiv.1503.02952

Abstract

We prove a strengthening of Kollár's Ampleness Lemma and use it to prove that any proper coarse moduli space of stable log-varieties of general type is projective. We also prove subadditivity of log-Kodaira dimension for fiber spaces whose general fiber is of log general type.

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• Stratified Hyperbolicity of the moduli stack of stable minimal models, I
• Effective positivity of Hodge bundles and applications

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