Toward classification of codimension 1 foliations on threefolds of general type

Abstract

AbstractThe aim of this paper is to classify codimension 1 foliations with canonical singularities and 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 with the canonical class being not big on manifolds of general type in any dimension, assuming that is nonsingular in codimension 2.