Codimension two holomorphic foliation (Q2335708)

This paper deals with singular foliations and distributions of codimension \(q\), \(q\geq 2\), with special emphasis on the case \(q=2\). The authors prove local and global results. In particular, they show the stability of complete intersection of codimension-two distributions and foliations in the local case, under some natural assumptions. Moreover, in a local context and on rational manifolds, the authors prove the existence of codimension-two foliations which are not contained in any codimension-one foliation. The last part of the article is devoted to the description of homogeneous foliations of small degree.