@article{6a114f8fa3a14c909d35814ac3394081,
title = "Subadditivity of Kodaira dimension does not hold in positive characteristic",
abstract = "Over any algebraically closed field of positive characteristic, we construct examples of fibrations violating subadditivity of Kodaira dimension.",
keywords = "Fibration, Iitaka's conjecture, Kodaira dimension, Positive characteristic",
author = "Paolo Cascini and Sho Ejiri and J{\'a}nos Koll{\'a}r and Lei Zhang",
note = "Funding Information: The first author was supported by EPSRC. The second author was supported by JSPS KAKENHI Grant Number 18J00171. The third author was supported by the NSF under grant number DMS-1901855. The fourth author was supported by the project “Analysis and Geometry on Bundles” of Ministry of Science and Technology of the People{\textquoteright}s Republic of China and grant NSFC (No. 11771260) Publisher Copyright: {\textcopyright} 2021 Swiss Mathematical Society.",
year = "2021",
doi = "10.4171/CMH/517",
language = "English (US)",
volume = "96",
pages = "465--481",
journal = "Commentarii Mathematici Helvetici",
issn = "0010-2571",
publisher = "European Mathematical Society Publishing House",
number = "3",
}