Iitaka's $C_{n,m}$ conjecture for 3-folds over finite fields

Caucher Birkar, Yifei Chen, Lei Zhang

Published 2015-07-31Version 1

We prove Iitaka's $C_{n,m}$ conjecture for $3$-folds over the algebraic closure of finite fields. Along the way we prove some results on the birational geometry of log surfaces over nonclosed fields and apply these to existence of relative good minimal models of $3$-folds.