Codimension one foliations with trivial canonical class on singular spaces II

Stéphane Druel, Wenhao Ou

Published 2019-12-16Version 1

In this article, we give the structure of codimension one foliations with canonical singularities and numerically trivial canonical class on varieties with klt singularities. Building on recent works of Spicer, Cascini - Spicer and Spicer - Svaldi, we then describe the birational geometry of rank two foliations with canonical singularities and canonical class of numerical dimension zero on complex projective threefolds.