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

Kovács, Sándor; Patakfalvi, Zsolt

doi:10.1090/jams/871

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

Authors: Sándor J Kovács and Zsolt Patakfalvi
Journal: J. Amer. Math. Soc. 30 (2017), 959-1021
MSC (2010): Primary 14J10
DOI: https://doi.org/10.1090/jams/871
Published electronically: December 15, 2016
MathSciNet review: 3671934
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Abstract: We prove that any 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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