Deformations of homogeneous foliations

Abstract

Let X be a simply connected compact homogeneous Kahler manifold, b2(X) = 1, and let E ρ be a homogeneous vector foliation on X. A complete effective family of deformations of a holomorphic vector foliation E ρ , this family parametrized by a neighborhood of zero in H1(X,o End ρ ), is constructed.