  Let $\mathcal{F}$ be a singular codimension one holomorphic foliation on a
compact complex manifold $X$ of dimension at least three such that its singular
set has codimension at least two. In this paper, we determine Lehmann-Suwa
residues of $\mathcal{F}$ as multiples of complex numbers by integration
currents along irreducible complex subvarieties of $X$. We then prove a formula
that determines the Baum-Bott residue of simple almost Liouvillian foliations
of codimension one, in terms of Lehmann-Suwa residues, generalizing a result of
Marco Brunella. As an application, we give sufficient conditions for the
existence of dicritical singularities of a singular real-analytic Levi-flat
hypersurface $M\subset X$ tangent to $\mathcal{F}$.

Complex Variables;Dynamical Systems