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arxiv: 1503.02952 · v1 · pith:S6UXY7X5new · submitted 2015-03-10 · 🧮 math.AG

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

S\'andor J Kov\'acs , Zsolt Patakfalvi This is my paper
classification 🧮 math.AG
keywords generalprovedimensionfiberlog-kodairalog-varietiesmodulispace
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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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Cited by 2 Pith papers

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