Subadditivity of Kodaira dimension does not hold in positive characteristic

Paolo Cascini; Sho Ejiri; János Kollár; Lei Zhang

doi:10.4171/cmh/517

JournalscmhVol. 96, No. 3pp. 465–481

Subadditivity of Kodaira dimension does not hold in positive characteristic

Paolo Cascini
Imperial College London, UK
Sho Ejiri
Osaka University, Toyonaka, Japan
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János Kollár
Princeton University, USA
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Lei Zhang
University of Science and Technology of China, Hefei, China
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Abstract

Over any algebraically closed field of positive characteristic, we construct examples of fibrations violating subadditivity of Kodaira dimension.

Cite this article

Paolo Cascini, Sho Ejiri, János Kollár, Lei Zhang, Subadditivity of Kodaira dimension does not hold in positive characteristic. Comment. Math. Helv. 96 (2021), no. 3, pp. 465–481

DOI 10.4171/CMH/517