Toward classification of codimension 1 foliations on threefolds of general type.

The aim of this paper is to classify codimension 1 foliations F$\operatorname{\mathcal {F}}$ with canonical singularities and ν(KF)<3$\nu (K_{\operatorname{\mathcal {F}}}) < 3$ on threefolds of general type. I prove a classification result for foliations satisfying these conditions and having nontrivial algebraic part. We also describe purely transcendental foliations F$\operatorname{\mathcal {F}}$ with the canonical class KF$K_{\operatorname{\mathcal {F}}}$ being not big on manifolds of general type in any dimension, assuming that F$\operatorname{\mathcal {F}}$ is nonsingular in codimension 2. [ABSTRACT FROM AUTHOR]