On Levi-flat hypersurfaces tangent to holomorphic webs
  We investigate germs of real analytic Levi-flat hypersurfaces tangent to germs of codimension one holomorphic webs. We introduce the notion of first integrals for local webs. In particular, we prove that a $k$-web with finitely many invariant analytic subvarieties through the origin tangent to a Levi-flat hypersurface has a holomorphic first integral. 
Arturo Fern\'andez-P\'erez
math.CV