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

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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References in corpus (9)

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Cited by in corpus (5)

• On semipositivity, injectivity and vanishing theorems
• Kodaira dimension of algebraic fiber spaces over abelian varieties
• Ampleness of the CM line bundle on the moduli space of canonically polarized varieties
• On the characterization of abelian varieties in characteristic $p>0$
• Vanishing and semipositivity theorems for semi-log canonical pairs