Subadditivity of Kodaira dimension does not hold in positive characteristic

Paolo Cascini; Sho Ejiri; János Kollár; Lei Zhang

Subadditivity of Kodaira dimension does not hold in positive characteristic

Algebraic Geometry 2020-07-07 v2

Authors: Paolo Cascini , Sho Ejiri , János Kollár , Lei Zhang

Abstract

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

Keywords

positive characteristic kodaira dimension subadditivity fibrations algebraically closed field

Cite

@article{arxiv.2003.13206,
  title  = {Subadditivity of Kodaira dimension does not hold in positive characteristic},
  author = {Paolo Cascini and Sho Ejiri and János Kollár and Lei Zhang},
  journal= {arXiv preprint arXiv:2003.13206},
  year   = {2020}
}