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arXiv · 1503.02952

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

Sándor J Kovács·Zsolt Patakfalvi
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Abstract

We prove a strengthening of Koll\'ar'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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Sándor J Kovács, Zsolt Patakfalvi. 2015-03-10. Projectivity of the moduli space of stable log-varieties and subadditvity of log-Kodaira dimension. https://arxiv.org/abs/1503.02952

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