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

  • János Kollár

    Princeton University, USA

  • Lei Zhang

    University of Science and Technology of China, Hefei, China
Subadditivity of Kodaira dimension does not hold in positive characteristic cover
Download PDF

A subscription is required to access this article.

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